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Finding the Fourth Proportional to 25,524.38, 38,286.57 and 9,952.94

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Solution

The fourth proportional to 25,524.38, 38,286.57 and 9,952.94 is: 14,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.38 : 38,286.57 = 9,952.94 : x
  2. Step 2: Convert to fraction form
    25,524.38/38,286.57 = 9,952.94/x
  3. Step 3: Cross multiply
    25,524.38x = 38,286.57 × 9,952.94
  4. Step 4: Simplify right side
    25,524.38x = 381,063,742.58
  5. Step 5: Solve for x
    x = 381,063,742.58/25,524.38
  6. Step 6: Final answer
    x = 14,929.41

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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.