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Finding the Fourth Proportional to 24,386.31, 36,580.74 and 7,747.65

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Solution

The fourth proportional to 24,386.31, 36,580.74 and 7,747.65 is: 11,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.31 : 36,580.74 = 7,747.65 : x
  2. Step 2: Convert to fraction form
    24,386.31/36,580.74 = 7,747.65/x
  3. Step 3: Cross multiply
    24,386.31x = 36,580.74 × 7,747.65
  4. Step 4: Simplify right side
    24,386.31x = 283,414,770.26
  5. Step 5: Solve for x
    x = 283,414,770.26/24,386.31
  6. Step 6: Final answer
    x = 11,621.88

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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.