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Finding the Fourth Proportional to 12,761.80, 19,142.70 and 8,614.60

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Solution

The fourth proportional to 12,761.80, 19,142.70 and 8,614.60 is: 12,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.80 : 19,142.70 = 8,614.60 : x
  2. Step 2: Convert to fraction form
    12,761.80/19,142.70 = 8,614.60/x
  3. Step 3: Cross multiply
    12,761.80x = 19,142.70 × 8,614.60
  4. Step 4: Simplify right side
    12,761.80x = 164,906,703.42
  5. Step 5: Solve for x
    x = 164,906,703.42/12,761.80
  6. Step 6: Final answer
    x = 12,921.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.