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Finding the Fourth Proportional to 25,129.67, 34,684.07 and 14,517.86

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Solution

The fourth proportional to 25,129.67, 34,684.07 and 14,517.86 is: 20,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.67 : 34,684.07 = 14,517.86 : x
  2. Step 2: Convert to fraction form
    25,129.67/34,684.07 = 14,517.86/x
  3. Step 3: Cross multiply
    25,129.67x = 34,684.07 × 14,517.86
  4. Step 4: Simplify right side
    25,129.67x = 503,538,226.48
  5. Step 5: Solve for x
    x = 503,538,226.48/25,129.67
  6. Step 6: Final answer
    x = 20,037.60

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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.