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Finding the Fourth Proportional to 26,506.46, 39,761.04 and 9,865.82

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Solution

The fourth proportional to 26,506.46, 39,761.04 and 9,865.82 is: 14,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.46 : 39,761.04 = 9,865.82 : x
  2. Step 2: Convert to fraction form
    26,506.46/39,761.04 = 9,865.82/x
  3. Step 3: Cross multiply
    26,506.46x = 39,761.04 × 9,865.82
  4. Step 4: Simplify right side
    26,506.46x = 392,275,263.65
  5. Step 5: Solve for x
    x = 392,275,263.65/26,506.46
  6. Step 6: Final answer
    x = 14,799.23

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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.