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Finding the Fourth Proportional to 25,716.87, 38,589.87 and 10,145.43

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Solution

The fourth proportional to 25,716.87, 38,589.87 and 10,145.43 is: 15,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.87 : 38,589.87 = 10,145.43 : x
  2. Step 2: Convert to fraction form
    25,716.87/38,589.87 = 10,145.43/x
  3. Step 3: Cross multiply
    25,716.87x = 38,589.87 × 10,145.43
  4. Step 4: Simplify right side
    25,716.87x = 391,510,824.79
  5. Step 5: Solve for x
    x = 391,510,824.79/25,716.87
  6. Step 6: Final answer
    x = 15,223.89

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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.