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Finding the Fourth Proportional to 13,600.42, 20,402.44 and 5,701.70

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Solution

The fourth proportional to 13,600.42, 20,402.44 and 5,701.70 is: 8,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.42 : 20,402.44 = 5,701.70 : x
  2. Step 2: Convert to fraction form
    13,600.42/20,402.44 = 5,701.70/x
  3. Step 3: Cross multiply
    13,600.42x = 20,402.44 × 5,701.70
  4. Step 4: Simplify right side
    13,600.42x = 116,328,592.15
  5. Step 5: Solve for x
    x = 116,328,592.15/13,600.42
  6. Step 6: Final answer
    x = 8,553.31

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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.