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Finding the Fourth Proportional to 24,311.68, 36,452.90 and 9,502.94

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Solution

The fourth proportional to 24,311.68, 36,452.90 and 9,502.94 is: 14,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.68 : 36,452.90 = 9,502.94 : x
  2. Step 2: Convert to fraction form
    24,311.68/36,452.90 = 9,502.94/x
  3. Step 3: Cross multiply
    24,311.68x = 36,452.90 × 9,502.94
  4. Step 4: Simplify right side
    24,311.68x = 346,409,721.53
  5. Step 5: Solve for x
    x = 346,409,721.53/24,311.68
  6. Step 6: Final answer
    x = 14,248.70

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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.