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Finding the Fourth Proportional to 25,716.86, 38,589.86 and 10,145.42

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Solution

The fourth proportional to 25,716.86, 38,589.86 and 10,145.42 is: 15,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.86 : 38,589.86 = 10,145.42 : x
  2. Step 2: Convert to fraction form
    25,716.86/38,589.86 = 10,145.42/x
  3. Step 3: Cross multiply
    25,716.86x = 38,589.86 × 10,145.42
  4. Step 4: Simplify right side
    25,716.86x = 391,510,337.44
  5. Step 5: Solve for x
    x = 391,510,337.44/25,716.86
  6. Step 6: Final answer
    x = 15,223.88

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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.