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Finding the Fourth Proportional to 25,882.60, 38,833.01 and 12,744.20

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Solution

The fourth proportional to 25,882.60, 38,833.01 and 12,744.20 is: 19,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.60 : 38,833.01 = 12,744.20 : x
  2. Step 2: Convert to fraction form
    25,882.60/38,833.01 = 12,744.20/x
  3. Step 3: Cross multiply
    25,882.60x = 38,833.01 × 12,744.20
  4. Step 4: Simplify right side
    25,882.60x = 494,895,646.04
  5. Step 5: Solve for x
    x = 494,895,646.04/25,882.60
  6. Step 6: Final answer
    x = 19,120.79

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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.