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Finding the Fourth Proportional to 12,724.38, 17,567.89 and 8,189.09

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Solution

The fourth proportional to 12,724.38, 17,567.89 and 8,189.09 is: 11,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.38 : 17,567.89 = 8,189.09 : x
  2. Step 2: Convert to fraction form
    12,724.38/17,567.89 = 8,189.09/x
  3. Step 3: Cross multiply
    12,724.38x = 17,567.89 × 8,189.09
  4. Step 4: Simplify right side
    12,724.38x = 143,864,989.89
  5. Step 5: Solve for x
    x = 143,864,989.89/12,724.38
  6. Step 6: Final answer
    x = 11,306.25

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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.