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Finding the Fourth Proportional to 23,218.50, 32,042.13 and 12,608.13

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Solution

The fourth proportional to 23,218.50, 32,042.13 and 12,608.13 is: 17,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.50 : 32,042.13 = 12,608.13 : x
  2. Step 2: Convert to fraction form
    23,218.50/32,042.13 = 12,608.13/x
  3. Step 3: Cross multiply
    23,218.50x = 32,042.13 × 12,608.13
  4. Step 4: Simplify right side
    23,218.50x = 403,991,340.52
  5. Step 5: Solve for x
    x = 403,991,340.52/23,218.50
  6. Step 6: Final answer
    x = 17,399.55

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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.