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Finding the Fourth Proportional to 12,229.83, 16,876.53 and 6,924.69

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Solution

The fourth proportional to 12,229.83, 16,876.53 and 6,924.69 is: 9,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.83 : 16,876.53 = 6,924.69 : x
  2. Step 2: Convert to fraction form
    12,229.83/16,876.53 = 6,924.69/x
  3. Step 3: Cross multiply
    12,229.83x = 16,876.53 × 6,924.69
  4. Step 4: Simplify right side
    12,229.83x = 116,864,738.53
  5. Step 5: Solve for x
    x = 116,864,738.53/12,229.83
  6. Step 6: Final answer
    x = 9,555.71

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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.