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Finding the Fourth Proportional to 13,722.56, 20,588.80 and 5,397.98

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Solution

The fourth proportional to 13,722.56, 20,588.80 and 5,397.98 is: 8,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.56 : 20,588.80 = 5,397.98 : x
  2. Step 2: Convert to fraction form
    13,722.56/20,588.80 = 5,397.98/x
  3. Step 3: Cross multiply
    13,722.56x = 20,588.80 × 5,397.98
  4. Step 4: Simplify right side
    13,722.56x = 111,137,930.62
  5. Step 5: Solve for x
    x = 111,137,930.62/13,722.56
  6. Step 6: Final answer
    x = 8,098.92

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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.