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Finding the Fourth Proportional to 16,343.92, 24,522.88 and 6,986

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Solution

The fourth proportional to 16,343.92, 24,522.88 and 6,986 is: 10,481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.92 : 24,522.88 = 6,986 : x
  2. Step 2: Convert to fraction form
    16,343.92/24,522.88 = 6,986/x
  3. Step 3: Cross multiply
    16,343.92x = 24,522.88 × 6,986
  4. Step 4: Simplify right side
    16,343.92x = 171,316,839.68
  5. Step 5: Solve for x
    x = 171,316,839.68/16,343.92
  6. Step 6: Final answer
    x = 10,481.99

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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.