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Finding the Fourth Proportional to 25,497.70, 38,269.02 and 13,661.17

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Solution

The fourth proportional to 25,497.70, 38,269.02 and 13,661.17 is: 20,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.70 : 38,269.02 = 13,661.17 : x
  2. Step 2: Convert to fraction form
    25,497.70/38,269.02 = 13,661.17/x
  3. Step 3: Cross multiply
    25,497.70x = 38,269.02 × 13,661.17
  4. Step 4: Simplify right side
    25,497.70x = 522,799,587.95
  5. Step 5: Solve for x
    x = 522,799,587.95/25,497.70
  6. Step 6: Final answer
    x = 20,503.79

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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.