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Finding the Fourth Proportional to 26,731.87, 40,097.82 and 8,013.87

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Solution

The fourth proportional to 26,731.87, 40,097.82 and 8,013.87 is: 12,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.87 : 40,097.82 = 8,013.87 : x
  2. Step 2: Convert to fraction form
    26,731.87/40,097.82 = 8,013.87/x
  3. Step 3: Cross multiply
    26,731.87x = 40,097.82 × 8,013.87
  4. Step 4: Simplify right side
    26,731.87x = 321,338,746.82
  5. Step 5: Solve for x
    x = 321,338,746.82/26,731.87
  6. Step 6: Final answer
    x = 12,020.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.