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Finding the Fourth Proportional to 12,801.40, 19,202.10 and 7,811.80

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Solution

The fourth proportional to 12,801.40, 19,202.10 and 7,811.80 is: 11,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.40 : 19,202.10 = 7,811.80 : x
  2. Step 2: Convert to fraction form
    12,801.40/19,202.10 = 7,811.80/x
  3. Step 3: Cross multiply
    12,801.40x = 19,202.10 × 7,811.80
  4. Step 4: Simplify right side
    12,801.40x = 150,002,964.78
  5. Step 5: Solve for x
    x = 150,002,964.78/12,801.40
  6. Step 6: Final answer
    x = 11,717.70

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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.