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Finding the Fourth Proportional to 17,349.10, 23,921.49 and 16,414.90

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Solution

The fourth proportional to 17,349.10, 23,921.49 and 16,414.90 is: 22,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,349.10 : 23,921.49 = 16,414.90 : x
  2. Step 2: Convert to fraction form
    17,349.10/23,921.49 = 16,414.90/x
  3. Step 3: Cross multiply
    17,349.10x = 23,921.49 × 16,414.90
  4. Step 4: Simplify right side
    17,349.10x = 392,668,866.20
  5. Step 5: Solve for x
    x = 392,668,866.20/17,349.10
  6. Step 6: Final answer
    x = 22,633.39

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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.