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Finding the Fourth Proportional to 13,835.70, 20,747.34 and 3,972.78

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Solution

The fourth proportional to 13,835.70, 20,747.34 and 3,972.78 is: 5,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.70 : 20,747.34 = 3,972.78 : x
  2. Step 2: Convert to fraction form
    13,835.70/20,747.34 = 3,972.78/x
  3. Step 3: Cross multiply
    13,835.70x = 20,747.34 × 3,972.78
  4. Step 4: Simplify right side
    13,835.70x = 82,424,617.41
  5. Step 5: Solve for x
    x = 82,424,617.41/13,835.70
  6. Step 6: Final answer
    x = 5,957.39

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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.