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Finding the Fourth Proportional to 25,892.65, 35,731.52 and 14,562.15

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Solution

The fourth proportional to 25,892.65, 35,731.52 and 14,562.15 is: 20,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,892.65 : 35,731.52 = 14,562.15 : x
  2. Step 2: Convert to fraction form
    25,892.65/35,731.52 = 14,562.15/x
  3. Step 3: Cross multiply
    25,892.65x = 35,731.52 × 14,562.15
  4. Step 4: Simplify right side
    25,892.65x = 520,327,753.97
  5. Step 5: Solve for x
    x = 520,327,753.97/25,892.65
  6. Step 6: Final answer
    x = 20,095.58

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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.