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Finding the Fourth Proportional to 24,363.66, 36,546.78 and 7,724.97

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Solution

The fourth proportional to 24,363.66, 36,546.78 and 7,724.97 is: 11,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363.66 : 36,546.78 = 7,724.97 : x
  2. Step 2: Convert to fraction form
    24,363.66/36,546.78 = 7,724.97/x
  3. Step 3: Cross multiply
    24,363.66x = 36,546.78 × 7,724.97
  4. Step 4: Simplify right side
    24,363.66x = 282,322,779.10
  5. Step 5: Solve for x
    x = 282,322,779.10/24,363.66
  6. Step 6: Final answer
    x = 11,587.86

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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.