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Finding the Fourth Proportional to 25,753.42, 38,635.92 and 13,906.93

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Solution

The fourth proportional to 25,753.42, 38,635.92 and 13,906.93 is: 20,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.42 : 38,635.92 = 13,906.93 : x
  2. Step 2: Convert to fraction form
    25,753.42/38,635.92 = 13,906.93/x
  3. Step 3: Cross multiply
    25,753.42x = 38,635.92 × 13,906.93
  4. Step 4: Simplify right side
    25,753.42x = 537,307,034.93
  5. Step 5: Solve for x
    x = 537,307,034.93/25,753.42
  6. Step 6: Final answer
    x = 20,863.52

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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.