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Finding the Fourth Proportional to 15,205.32, 22,787.32 and 5,836.68

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Solution

The fourth proportional to 15,205.32, 22,787.32 and 5,836.68 is: 8,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.32 : 22,787.32 = 5,836.68 : x
  2. Step 2: Convert to fraction form
    15,205.32/22,787.32 = 5,836.68/x
  3. Step 3: Cross multiply
    15,205.32x = 22,787.32 × 5,836.68
  4. Step 4: Simplify right side
    15,205.32x = 133,002,294.90
  5. Step 5: Solve for x
    x = 133,002,294.90/15,205.32
  6. Step 6: Final answer
    x = 8,747.09

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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.