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Finding the Fourth Proportional to 17,213.50, 23,753.16 and 9,658.80

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Solution

The fourth proportional to 17,213.50, 23,753.16 and 9,658.80 is: 13,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.50 : 23,753.16 = 9,658.80 : x
  2. Step 2: Convert to fraction form
    17,213.50/23,753.16 = 9,658.80/x
  3. Step 3: Cross multiply
    17,213.50x = 23,753.16 × 9,658.80
  4. Step 4: Simplify right side
    17,213.50x = 229,427,021.81
  5. Step 5: Solve for x
    x = 229,427,021.81/17,213.50
  6. Step 6: Final answer
    x = 13,328.32

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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.