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Finding the Fourth Proportional to 12,120.81, 16,722.70 and 9,878.83

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Solution

The fourth proportional to 12,120.81, 16,722.70 and 9,878.83 is: 13,629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120.81 : 16,722.70 = 9,878.83 : x
  2. Step 2: Convert to fraction form
    12,120.81/16,722.70 = 9,878.83/x
  3. Step 3: Cross multiply
    12,120.81x = 16,722.70 × 9,878.83
  4. Step 4: Simplify right side
    12,120.81x = 165,200,706.65
  5. Step 5: Solve for x
    x = 165,200,706.65/12,120.81
  6. Step 6: Final answer
    x = 13,629.51

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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.