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Finding the Fourth Proportional to 24,376.56, 36,546.32 and 7,727

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Solution

The fourth proportional to 24,376.56, 36,546.32 and 7,727 is: 11,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.56 : 36,546.32 = 7,727 : x
  2. Step 2: Convert to fraction form
    24,376.56/36,546.32 = 7,727/x
  3. Step 3: Cross multiply
    24,376.56x = 36,546.32 × 7,727
  4. Step 4: Simplify right side
    24,376.56x = 282,393,414.64
  5. Step 5: Solve for x
    x = 282,393,414.64/24,376.56
  6. Step 6: Final answer
    x = 11,584.63

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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.