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Finding the Fourth Proportional to 13,770.24, 20,638.04 and 7,517.22

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Solution

The fourth proportional to 13,770.24, 20,638.04 and 7,517.22 is: 11,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.24 : 20,638.04 = 7,517.22 : x
  2. Step 2: Convert to fraction form
    13,770.24/20,638.04 = 7,517.22/x
  3. Step 3: Cross multiply
    13,770.24x = 20,638.04 × 7,517.22
  4. Step 4: Simplify right side
    13,770.24x = 155,140,649.46
  5. Step 5: Solve for x
    x = 155,140,649.46/13,770.24
  6. Step 6: Final answer
    x = 11,266.37

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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.