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Finding the Fourth Proportional to 25,397.97, 38,111.12 and 9,613.50

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Solution

The fourth proportional to 25,397.97, 38,111.12 and 9,613.50 is: 14,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.97 : 38,111.12 = 9,613.50 : x
  2. Step 2: Convert to fraction form
    25,397.97/38,111.12 = 9,613.50/x
  3. Step 3: Cross multiply
    25,397.97x = 38,111.12 × 9,613.50
  4. Step 4: Simplify right side
    25,397.97x = 366,381,204.05
  5. Step 5: Solve for x
    x = 366,381,204.05/25,397.97
  6. Step 6: Final answer
    x = 14,425.61

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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.