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Finding the Fourth Proportional to 12,001.38, 16,543.04 and 8,218

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Solution

The fourth proportional to 12,001.38, 16,543.04 and 8,218 is: 11,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.38 : 16,543.04 = 8,218 : x
  2. Step 2: Convert to fraction form
    12,001.38/16,543.04 = 8,218/x
  3. Step 3: Cross multiply
    12,001.38x = 16,543.04 × 8,218
  4. Step 4: Simplify right side
    12,001.38x = 135,950,702.72
  5. Step 5: Solve for x
    x = 135,950,702.72/12,001.38
  6. Step 6: Final answer
    x = 11,327.92

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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.