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Finding the Fourth Proportional to 23,224.50, 32,050.40 and 12,614.13

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Solution

The fourth proportional to 23,224.50, 32,050.40 and 12,614.13 is: 17,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.50 : 32,050.40 = 12,614.13 : x
  2. Step 2: Convert to fraction form
    23,224.50/32,050.40 = 12,614.13/x
  3. Step 3: Cross multiply
    23,224.50x = 32,050.40 × 12,614.13
  4. Step 4: Simplify right side
    23,224.50x = 404,287,849.08
  5. Step 5: Solve for x
    x = 404,287,849.08/23,224.50
  6. Step 6: Final answer
    x = 17,407.82

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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.