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Finding the Fourth Proportional to 23,882.89, 32,963.25 and 16,350.04

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Solution

The fourth proportional to 23,882.89, 32,963.25 and 16,350.04 is: 22,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.89 : 32,963.25 = 16,350.04 : x
  2. Step 2: Convert to fraction form
    23,882.89/32,963.25 = 16,350.04/x
  3. Step 3: Cross multiply
    23,882.89x = 32,963.25 × 16,350.04
  4. Step 4: Simplify right side
    23,882.89x = 538,950,209.46
  5. Step 5: Solve for x
    x = 538,950,209.46/23,882.89
  6. Step 6: Final answer
    x = 22,566.38

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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.