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Finding the Fourth Proportional to 12,230.24, 16,877.76 and 6,641.12

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Solution

The fourth proportional to 12,230.24, 16,877.76 and 6,641.12 is: 9,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.24 : 16,877.76 = 6,641.12 : x
  2. Step 2: Convert to fraction form
    12,230.24/16,877.76 = 6,641.12/x
  3. Step 3: Cross multiply
    12,230.24x = 16,877.76 × 6,641.12
  4. Step 4: Simplify right side
    12,230.24x = 112,087,229.49
  5. Step 5: Solve for x
    x = 112,087,229.49/12,230.24
  6. Step 6: Final answer
    x = 9,164.76

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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.