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Finding the Fourth Proportional to 12,105.68, 16,706.92 and 6,801.80

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Solution

The fourth proportional to 12,105.68, 16,706.92 and 6,801.80 is: 9,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.68 : 16,706.92 = 6,801.80 : x
  2. Step 2: Convert to fraction form
    12,105.68/16,706.92 = 6,801.80/x
  3. Step 3: Cross multiply
    12,105.68x = 16,706.92 × 6,801.80
  4. Step 4: Simplify right side
    12,105.68x = 113,637,128.46
  5. Step 5: Solve for x
    x = 113,637,128.46/12,105.68
  6. Step 6: Final answer
    x = 9,387.09

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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.