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Finding the Fourth Proportional to 24,299.97, 36,450 and 6,769.86

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Solution

The fourth proportional to 24,299.97, 36,450 and 6,769.86 is: 10,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.97 : 36,450 = 6,769.86 : x
  2. Step 2: Convert to fraction form
    24,299.97/36,450 = 6,769.86/x
  3. Step 3: Cross multiply
    24,299.97x = 36,450 × 6,769.86
  4. Step 4: Simplify right side
    24,299.97x = 246,761,397
  5. Step 5: Solve for x
    x = 246,761,397/24,299.97
  6. Step 6: Final answer
    x = 10,154.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.