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Finding the Fourth Proportional to 23,224.33, 32,049.43 and 12,613.87

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Solution

The fourth proportional to 23,224.33, 32,049.43 and 12,613.87 is: 17,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.33 : 32,049.43 = 12,613.87 : x
  2. Step 2: Convert to fraction form
    23,224.33/32,049.43 = 12,613.87/x
  3. Step 3: Cross multiply
    23,224.33x = 32,049.43 × 12,613.87
  4. Step 4: Simplify right side
    23,224.33x = 404,267,343.59
  5. Step 5: Solve for x
    x = 404,267,343.59/23,224.33
  6. Step 6: Final answer
    x = 17,407.06

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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.