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Finding the Fourth Proportional to 12,231.28, 16,874.76 and 6,924.16

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Solution

The fourth proportional to 12,231.28, 16,874.76 and 6,924.16 is: 9,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.28 : 16,874.76 = 6,924.16 : x
  2. Step 2: Convert to fraction form
    12,231.28/16,874.76 = 6,924.16/x
  3. Step 3: Cross multiply
    12,231.28x = 16,874.76 × 6,924.16
  4. Step 4: Simplify right side
    12,231.28x = 116,843,538.20
  5. Step 5: Solve for x
    x = 116,843,538.20/12,231.28
  6. Step 6: Final answer
    x = 9,552.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.