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Finding the Fourth Proportional to 26,188.38, 36,138.87 and 14,251.77

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Solution

The fourth proportional to 26,188.38, 36,138.87 and 14,251.77 is: 19,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,188.38 : 36,138.87 = 14,251.77 : x
  2. Step 2: Convert to fraction form
    26,188.38/36,138.87 = 14,251.77/x
  3. Step 3: Cross multiply
    26,188.38x = 36,138.87 × 14,251.77
  4. Step 4: Simplify right side
    26,188.38x = 515,042,863.30
  5. Step 5: Solve for x
    x = 515,042,863.30/26,188.38
  6. Step 6: Final answer
    x = 19,666.85

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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.