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Finding the Fourth Proportional to 13,638.57, 20,452.81 and 10,722.57

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Solution

The fourth proportional to 13,638.57, 20,452.81 and 10,722.57 is: 16,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.57 : 20,452.81 = 10,722.57 : x
  2. Step 2: Convert to fraction form
    13,638.57/20,452.81 = 10,722.57/x
  3. Step 3: Cross multiply
    13,638.57x = 20,452.81 × 10,722.57
  4. Step 4: Simplify right side
    13,638.57x = 219,306,686.92
  5. Step 5: Solve for x
    x = 219,306,686.92/13,638.57
  6. Step 6: Final answer
    x = 16,079.89

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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.