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Finding the Fourth Proportional to 23,224.31, 32,049.60 and 12,613.71

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Solution

The fourth proportional to 23,224.31, 32,049.60 and 12,613.71 is: 17,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.31 : 32,049.60 = 12,613.71 : x
  2. Step 2: Convert to fraction form
    23,224.31/32,049.60 = 12,613.71/x
  3. Step 3: Cross multiply
    23,224.31x = 32,049.60 × 12,613.71
  4. Step 4: Simplify right side
    23,224.31x = 404,264,360.02
  5. Step 5: Solve for x
    x = 404,264,360.02/23,224.31
  6. Step 6: Final answer
    x = 17,406.95

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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.