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Finding the Fourth Proportional to 23,224.48, 32,049.66 and 12,614.20

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Solution

The fourth proportional to 23,224.48, 32,049.66 and 12,614.20 is: 17,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.48 : 32,049.66 = 12,614.20 : x
  2. Step 2: Convert to fraction form
    23,224.48/32,049.66 = 12,614.20/x
  3. Step 3: Cross multiply
    23,224.48x = 32,049.66 × 12,614.20
  4. Step 4: Simplify right side
    23,224.48x = 404,280,821.17
  5. Step 5: Solve for x
    x = 404,280,821.17/23,224.48
  6. Step 6: Final answer
    x = 17,407.53

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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.