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Finding the Fourth Proportional to 24,575.81, 36,869.18 and 7,932.74

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Solution

The fourth proportional to 24,575.81, 36,869.18 and 7,932.74 is: 11,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.81 : 36,869.18 = 7,932.74 : x
  2. Step 2: Convert to fraction form
    24,575.81/36,869.18 = 7,932.74/x
  3. Step 3: Cross multiply
    24,575.81x = 36,869.18 × 7,932.74
  4. Step 4: Simplify right side
    24,575.81x = 292,473,394.94
  5. Step 5: Solve for x
    x = 292,473,394.94/24,575.81
  6. Step 6: Final answer
    x = 11,900.87

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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.