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Finding the Fourth Proportional to 16,078.92, 22,177.51 and 10,032.20

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Solution

The fourth proportional to 16,078.92, 22,177.51 and 10,032.20 is: 13,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.92 : 22,177.51 = 10,032.20 : x
  2. Step 2: Convert to fraction form
    16,078.92/22,177.51 = 10,032.20/x
  3. Step 3: Cross multiply
    16,078.92x = 22,177.51 × 10,032.20
  4. Step 4: Simplify right side
    16,078.92x = 222,489,301.88
  5. Step 5: Solve for x
    x = 222,489,301.88/16,078.92
  6. Step 6: Final answer
    x = 13,837.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.