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Finding the Fourth Proportional to 12,229.80, 16,877.10 and 6,924.48

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Solution

The fourth proportional to 12,229.80, 16,877.10 and 6,924.48 is: 9,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.80 : 16,877.10 = 6,924.48 : x
  2. Step 2: Convert to fraction form
    12,229.80/16,877.10 = 6,924.48/x
  3. Step 3: Cross multiply
    12,229.80x = 16,877.10 × 6,924.48
  4. Step 4: Simplify right side
    12,229.80x = 116,865,141.41
  5. Step 5: Solve for x
    x = 116,865,141.41/12,229.80
  6. Step 6: Final answer
    x = 9,555.77

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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.