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Finding the Fourth Proportional to 17,187.48, 23,717.25 and 9,531

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Solution

The fourth proportional to 17,187.48, 23,717.25 and 9,531 is: 13,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187.48 : 23,717.25 = 9,531 : x
  2. Step 2: Convert to fraction form
    17,187.48/23,717.25 = 9,531/x
  3. Step 3: Cross multiply
    17,187.48x = 23,717.25 × 9,531
  4. Step 4: Simplify right side
    17,187.48x = 226,049,109.75
  5. Step 5: Solve for x
    x = 226,049,109.75/17,187.48
  6. Step 6: Final answer
    x = 13,151.96

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