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Finding the Fourth Proportional to 23,224.69, 32,049.51 and 12,614.08

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Solution

The fourth proportional to 23,224.69, 32,049.51 and 12,614.08 is: 17,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.69 : 32,049.51 = 12,614.08 : x
  2. Step 2: Convert to fraction form
    23,224.69/32,049.51 = 12,614.08/x
  3. Step 3: Cross multiply
    23,224.69x = 32,049.51 × 12,614.08
  4. Step 4: Simplify right side
    23,224.69x = 404,275,083.10
  5. Step 5: Solve for x
    x = 404,275,083.10/23,224.69
  6. Step 6: Final answer
    x = 17,407.13

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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.