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Finding the Fourth Proportional to 16,171.38, 22,317.78 and 9,098.32

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Solution

The fourth proportional to 16,171.38, 22,317.78 and 9,098.32 is: 12,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.38 : 22,317.78 = 9,098.32 : x
  2. Step 2: Convert to fraction form
    16,171.38/22,317.78 = 9,098.32/x
  3. Step 3: Cross multiply
    16,171.38x = 22,317.78 × 9,098.32
  4. Step 4: Simplify right side
    16,171.38x = 203,054,304.13
  5. Step 5: Solve for x
    x = 203,054,304.13/16,171.38
  6. Step 6: Final answer
    x = 12,556.40

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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.