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Finding the Fourth Proportional to 12,382.50, 18,572.44 and 3,497.61

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Solution

The fourth proportional to 12,382.50, 18,572.44 and 3,497.61 is: 5,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.50 : 18,572.44 = 3,497.61 : x
  2. Step 2: Convert to fraction form
    12,382.50/18,572.44 = 3,497.61/x
  3. Step 3: Cross multiply
    12,382.50x = 18,572.44 × 3,497.61
  4. Step 4: Simplify right side
    12,382.50x = 64,959,151.87
  5. Step 5: Solve for x
    x = 64,959,151.87/12,382.50
  6. Step 6: Final answer
    x = 5,246.04

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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.