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Finding the Fourth Proportional to 25,708.50, 38,508.05 and 15,167.16

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Solution

The fourth proportional to 25,708.50, 38,508.05 and 15,167.16 is: 22,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.50 : 38,508.05 = 15,167.16 : x
  2. Step 2: Convert to fraction form
    25,708.50/38,508.05 = 15,167.16/x
  3. Step 3: Cross multiply
    25,708.50x = 38,508.05 × 15,167.16
  4. Step 4: Simplify right side
    25,708.50x = 584,057,679.80
  5. Step 5: Solve for x
    x = 584,057,679.80/25,708.50
  6. Step 6: Final answer
    x = 22,718.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.