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Finding the Fourth Proportional to 17,214.25, 23,755.67 and 9,762.25

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Solution

The fourth proportional to 17,214.25, 23,755.67 and 9,762.25 is: 13,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.25 : 23,755.67 = 9,762.25 : x
  2. Step 2: Convert to fraction form
    17,214.25/23,755.67 = 9,762.25/x
  3. Step 3: Cross multiply
    17,214.25x = 23,755.67 × 9,762.25
  4. Step 4: Simplify right side
    17,214.25x = 231,908,789.46
  5. Step 5: Solve for x
    x = 231,908,789.46/17,214.25
  6. Step 6: Final answer
    x = 13,471.91

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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.