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Finding the Fourth Proportional to 16,092.72, 22,200.42 and 10,038

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Solution

The fourth proportional to 16,092.72, 22,200.42 and 10,038 is: 13,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.72 : 22,200.42 = 10,038 : x
  2. Step 2: Convert to fraction form
    16,092.72/22,200.42 = 10,038/x
  3. Step 3: Cross multiply
    16,092.72x = 22,200.42 × 10,038
  4. Step 4: Simplify right side
    16,092.72x = 222,847,815.96
  5. Step 5: Solve for x
    x = 222,847,815.96/16,092.72
  6. Step 6: Final answer
    x = 13,847.74

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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.