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Finding the Fourth Proportional to 13,401.40, 20,099.70 and 8,462.20

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Solution

The fourth proportional to 13,401.40, 20,099.70 and 8,462.20 is: 12,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.40 : 20,099.70 = 8,462.20 : x
  2. Step 2: Convert to fraction form
    13,401.40/20,099.70 = 8,462.20/x
  3. Step 3: Cross multiply
    13,401.40x = 20,099.70 × 8,462.20
  4. Step 4: Simplify right side
    13,401.40x = 170,087,681.34
  5. Step 5: Solve for x
    x = 170,087,681.34/13,401.40
  6. Step 6: Final answer
    x = 12,691.78

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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.