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Finding the Fourth Proportional to 13,707.72, 20,562.19 and 3,846.78

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Solution

The fourth proportional to 13,707.72, 20,562.19 and 3,846.78 is: 5,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.72 : 20,562.19 = 3,846.78 : x
  2. Step 2: Convert to fraction form
    13,707.72/20,562.19 = 3,846.78/x
  3. Step 3: Cross multiply
    13,707.72x = 20,562.19 × 3,846.78
  4. Step 4: Simplify right side
    13,707.72x = 79,098,221.25
  5. Step 5: Solve for x
    x = 79,098,221.25/13,707.72
  6. Step 6: Final answer
    x = 5,770.34

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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.