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Finding the Fourth Proportional to 16,128.13, 22,258.17 and 9,414.20

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Solution

The fourth proportional to 16,128.13, 22,258.17 and 9,414.20 is: 12,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.13 : 22,258.17 = 9,414.20 : x
  2. Step 2: Convert to fraction form
    16,128.13/22,258.17 = 9,414.20/x
  3. Step 3: Cross multiply
    16,128.13x = 22,258.17 × 9,414.20
  4. Step 4: Simplify right side
    16,128.13x = 209,542,864.01
  5. Step 5: Solve for x
    x = 209,542,864.01/16,128.13
  6. Step 6: Final answer
    x = 12,992.38

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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.