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Finding the Fourth Proportional to 23,224.49, 32,049.98 and 12,614.16

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Solution

The fourth proportional to 23,224.49, 32,049.98 and 12,614.16 is: 17,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.49 : 32,049.98 = 12,614.16 : x
  2. Step 2: Convert to fraction form
    23,224.49/32,049.98 = 12,614.16/x
  3. Step 3: Cross multiply
    23,224.49x = 32,049.98 × 12,614.16
  4. Step 4: Simplify right side
    23,224.49x = 404,283,512.65
  5. Step 5: Solve for x
    x = 404,283,512.65/23,224.49
  6. Step 6: Final answer
    x = 17,407.64

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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.