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Finding the Fourth Proportional to 12,243.92, 18,376.54 and 6,404.62

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Solution

The fourth proportional to 12,243.92, 18,376.54 and 6,404.62 is: 9,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.92 : 18,376.54 = 6,404.62 : x
  2. Step 2: Convert to fraction form
    12,243.92/18,376.54 = 6,404.62/x
  3. Step 3: Cross multiply
    12,243.92x = 18,376.54 × 6,404.62
  4. Step 4: Simplify right side
    12,243.92x = 117,694,755.61
  5. Step 5: Solve for x
    x = 117,694,755.61/12,243.92
  6. Step 6: Final answer
    x = 9,612.51

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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.