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Finding the Fourth Proportional to 13,274.78, 19,909.20 and 3,912.80

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Solution

The fourth proportional to 13,274.78, 19,909.20 and 3,912.80 is: 5,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.78 : 19,909.20 = 3,912.80 : x
  2. Step 2: Convert to fraction form
    13,274.78/19,909.20 = 3,912.80/x
  3. Step 3: Cross multiply
    13,274.78x = 19,909.20 × 3,912.80
  4. Step 4: Simplify right side
    13,274.78x = 77,900,717.76
  5. Step 5: Solve for x
    x = 77,900,717.76/13,274.78
  6. Step 6: Final answer
    x = 5,868.32

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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.