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Finding the Fourth Proportional to 12,801.85, 19,202.62 and 7,862.57

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Solution

The fourth proportional to 12,801.85, 19,202.62 and 7,862.57 is: 11,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.85 : 19,202.62 = 7,862.57 : x
  2. Step 2: Convert to fraction form
    12,801.85/19,202.62 = 7,862.57/x
  3. Step 3: Cross multiply
    12,801.85x = 19,202.62 × 7,862.57
  4. Step 4: Simplify right side
    12,801.85x = 150,981,915.02
  5. Step 5: Solve for x
    x = 150,981,915.02/12,801.85
  6. Step 6: Final answer
    x = 11,793.76

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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.