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Finding the Fourth Proportional to 24,431.68, 36,634.40 and 7,787.20

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Solution

The fourth proportional to 24,431.68, 36,634.40 and 7,787.20 is: 11,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.68 : 36,634.40 = 7,787.20 : x
  2. Step 2: Convert to fraction form
    24,431.68/36,634.40 = 7,787.20/x
  3. Step 3: Cross multiply
    24,431.68x = 36,634.40 × 7,787.20
  4. Step 4: Simplify right side
    24,431.68x = 285,279,399.68
  5. Step 5: Solve for x
    x = 285,279,399.68/24,431.68
  6. Step 6: Final answer
    x = 11,676.62

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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.