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Finding the Fourth Proportional to 23,352.50, 32,227.15 and 13,282.39

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Solution

The fourth proportional to 23,352.50, 32,227.15 and 13,282.39 is: 18,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.50 : 32,227.15 = 13,282.39 : x
  2. Step 2: Convert to fraction form
    23,352.50/32,227.15 = 13,282.39/x
  3. Step 3: Cross multiply
    23,352.50x = 32,227.15 × 13,282.39
  4. Step 4: Simplify right side
    23,352.50x = 428,053,463.56
  5. Step 5: Solve for x
    x = 428,053,463.56/23,352.50
  6. Step 6: Final answer
    x = 18,330.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.