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Finding the Fourth Proportional to 17,260.16, 23,817.29 and 9,705.29

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Solution

The fourth proportional to 17,260.16, 23,817.29 and 9,705.29 is: 13,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,260.16 : 23,817.29 = 9,705.29 : x
  2. Step 2: Convert to fraction form
    17,260.16/23,817.29 = 9,705.29/x
  3. Step 3: Cross multiply
    17,260.16x = 23,817.29 × 9,705.29
  4. Step 4: Simplify right side
    17,260.16x = 231,153,790.27
  5. Step 5: Solve for x
    x = 231,153,790.27/17,260.16
  6. Step 6: Final answer
    x = 13,392.33

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.