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Finding the Fourth Proportional to 13,484.70, 20,221.92 and 4,121.87

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Solution

The fourth proportional to 13,484.70, 20,221.92 and 4,121.87 is: 6,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.70 : 20,221.92 = 4,121.87 : x
  2. Step 2: Convert to fraction form
    13,484.70/20,221.92 = 4,121.87/x
  3. Step 3: Cross multiply
    13,484.70x = 20,221.92 × 4,121.87
  4. Step 4: Simplify right side
    13,484.70x = 83,352,024.28
  5. Step 5: Solve for x
    x = 83,352,024.28/13,484.70
  6. Step 6: Final answer
    x = 6,181.23

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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.