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Finding the Fourth Proportional to 25,585.97, 38,380.32 and 8,057.17

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Solution

The fourth proportional to 25,585.97, 38,380.32 and 8,057.17 is: 12,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.97 : 38,380.32 = 8,057.17 : x
  2. Step 2: Convert to fraction form
    25,585.97/38,380.32 = 8,057.17/x
  3. Step 3: Cross multiply
    25,585.97x = 38,380.32 × 8,057.17
  4. Step 4: Simplify right side
    25,585.97x = 309,236,570.99
  5. Step 5: Solve for x
    x = 309,236,570.99/25,585.97
  6. Step 6: Final answer
    x = 12,086.18

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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.