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Finding the Fourth Proportional to 16,022.38, 22,108.98 and 9,648.87

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Solution

The fourth proportional to 16,022.38, 22,108.98 and 9,648.87 is: 13,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.38 : 22,108.98 = 9,648.87 : x
  2. Step 2: Convert to fraction form
    16,022.38/22,108.98 = 9,648.87/x
  3. Step 3: Cross multiply
    16,022.38x = 22,108.98 × 9,648.87
  4. Step 4: Simplify right side
    16,022.38x = 213,326,649.73
  5. Step 5: Solve for x
    x = 213,326,649.73/16,022.38
  6. Step 6: Final answer
    x = 13,314.29

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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.