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Finding the Fourth Proportional to 23,225.20, 32,049.78 and 12,614.60

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Solution

The fourth proportional to 23,225.20, 32,049.78 and 12,614.60 is: 17,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.20 : 32,049.78 = 12,614.60 : x
  2. Step 2: Convert to fraction form
    23,225.20/32,049.78 = 12,614.60/x
  3. Step 3: Cross multiply
    23,225.20x = 32,049.78 × 12,614.60
  4. Step 4: Simplify right side
    23,225.20x = 404,295,187.61
  5. Step 5: Solve for x
    x = 404,295,187.61/23,225.20
  6. Step 6: Final answer
    x = 17,407.61

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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.