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Finding the Fourth Proportional to 26,207.70, 36,169.11 and 16,142.04

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Solution

The fourth proportional to 26,207.70, 36,169.11 and 16,142.04 is: 22,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,207.70 : 36,169.11 = 16,142.04 : x
  2. Step 2: Convert to fraction form
    26,207.70/36,169.11 = 16,142.04/x
  3. Step 3: Cross multiply
    26,207.70x = 36,169.11 × 16,142.04
  4. Step 4: Simplify right side
    26,207.70x = 583,843,220.38
  5. Step 5: Solve for x
    x = 583,843,220.38/26,207.70
  6. Step 6: Final answer
    x = 22,277.55

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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.