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Finding the Fourth Proportional to 27,658.31, 41,482.87 and 11,865.88

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Solution

The fourth proportional to 27,658.31, 41,482.87 and 11,865.88 is: 17,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.31 : 41,482.87 = 11,865.88 : x
  2. Step 2: Convert to fraction form
    27,658.31/41,482.87 = 11,865.88/x
  3. Step 3: Cross multiply
    27,658.31x = 41,482.87 × 11,865.88
  4. Step 4: Simplify right side
    27,658.31x = 492,230,757.48
  5. Step 5: Solve for x
    x = 492,230,757.48/27,658.31
  6. Step 6: Final answer
    x = 17,796.85

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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.