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Finding the Fourth Proportional to 23,224.68, 32,049.52 and 12,614.08

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Solution

The fourth proportional to 23,224.68, 32,049.52 and 12,614.08 is: 17,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.68 : 32,049.52 = 12,614.08 : x
  2. Step 2: Convert to fraction form
    23,224.68/32,049.52 = 12,614.08/x
  3. Step 3: Cross multiply
    23,224.68x = 32,049.52 × 12,614.08
  4. Step 4: Simplify right side
    23,224.68x = 404,275,209.24
  5. Step 5: Solve for x
    x = 404,275,209.24/23,224.68
  6. Step 6: Final answer
    x = 17,407.14

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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.