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Finding the Fourth Proportional to 24,372.72, 36,559.26 and 7,732.80

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Solution

The fourth proportional to 24,372.72, 36,559.26 and 7,732.80 is: 11,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.72 : 36,559.26 = 7,732.80 : x
  2. Step 2: Convert to fraction form
    24,372.72/36,559.26 = 7,732.80/x
  3. Step 3: Cross multiply
    24,372.72x = 36,559.26 × 7,732.80
  4. Step 4: Simplify right side
    24,372.72x = 282,705,445.73
  5. Step 5: Solve for x
    x = 282,705,445.73/24,372.72
  6. Step 6: Final answer
    x = 11,599.26

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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.