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Finding the Fourth Proportional to 17,731.62, 24,469.08 and 9,774

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Solution

The fourth proportional to 17,731.62, 24,469.08 and 9,774 is: 13,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.62 : 24,469.08 = 9,774 : x
  2. Step 2: Convert to fraction form
    17,731.62/24,469.08 = 9,774/x
  3. Step 3: Cross multiply
    17,731.62x = 24,469.08 × 9,774
  4. Step 4: Simplify right side
    17,731.62x = 239,160,787.92
  5. Step 5: Solve for x
    x = 239,160,787.92/17,731.62
  6. Step 6: Final answer
    x = 13,487.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.