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Finding the Fourth Proportional to 24,757.76, 37,134 and 6,987.98

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Solution

The fourth proportional to 24,757.76, 37,134 and 6,987.98 is: 10,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.76 : 37,134 = 6,987.98 : x
  2. Step 2: Convert to fraction form
    24,757.76/37,134 = 6,987.98/x
  3. Step 3: Cross multiply
    24,757.76x = 37,134 × 6,987.98
  4. Step 4: Simplify right side
    24,757.76x = 259,491,463.65
  5. Step 5: Solve for x
    x = 259,491,463.65/24,757.76
  6. Step 6: Final answer
    x = 10,481.22

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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.