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Finding the Fourth Proportional to 15,998.38, 22,078.20 and 8,926.18

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Solution

The fourth proportional to 15,998.38, 22,078.20 and 8,926.18 is: 12,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.38 : 22,078.20 = 8,926.18 : x
  2. Step 2: Convert to fraction form
    15,998.38/22,078.20 = 8,926.18/x
  3. Step 3: Cross multiply
    15,998.38x = 22,078.20 × 8,926.18
  4. Step 4: Simplify right side
    15,998.38x = 197,073,987.28
  5. Step 5: Solve for x
    x = 197,073,987.28/15,998.38
  6. Step 6: Final answer
    x = 12,318.37

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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.