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Finding the Fourth Proportional to 13,420.70, 20,111.85 and 9,311.90

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Solution

The fourth proportional to 13,420.70, 20,111.85 and 9,311.90 is: 13,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.70 : 20,111.85 = 9,311.90 : x
  2. Step 2: Convert to fraction form
    13,420.70/20,111.85 = 9,311.90/x
  3. Step 3: Cross multiply
    13,420.70x = 20,111.85 × 9,311.90
  4. Step 4: Simplify right side
    13,420.70x = 187,279,536.02
  5. Step 5: Solve for x
    x = 187,279,536.02/13,420.70
  6. Step 6: Final answer
    x = 13,954.53

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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.