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Finding the Fourth Proportional to 12,122.81, 16,725.46 and 9,880.83

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Solution

The fourth proportional to 12,122.81, 16,725.46 and 9,880.83 is: 13,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.81 : 16,725.46 = 9,880.83 : x
  2. Step 2: Convert to fraction form
    12,122.81/16,725.46 = 9,880.83/x
  3. Step 3: Cross multiply
    12,122.81x = 16,725.46 × 9,880.83
  4. Step 4: Simplify right side
    12,122.81x = 165,261,426.93
  5. Step 5: Solve for x
    x = 165,261,426.93/12,122.81
  6. Step 6: Final answer
    x = 13,632.27

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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.