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Finding the Fourth Proportional to 24,311.39, 36,452.48 and 9,502.66

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Solution

The fourth proportional to 24,311.39, 36,452.48 and 9,502.66 is: 14,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.39 : 36,452.48 = 9,502.66 : x
  2. Step 2: Convert to fraction form
    24,311.39/36,452.48 = 9,502.66/x
  3. Step 3: Cross multiply
    24,311.39x = 36,452.48 × 9,502.66
  4. Step 4: Simplify right side
    24,311.39x = 346,395,523.60
  5. Step 5: Solve for x
    x = 346,395,523.60/24,311.39
  6. Step 6: Final answer
    x = 14,248.28

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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.