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Finding the Fourth Proportional to 13,598.70, 20,401.29 and 6,205.38

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Solution

The fourth proportional to 13,598.70, 20,401.29 and 6,205.38 is: 9,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.70 : 20,401.29 = 6,205.38 : x
  2. Step 2: Convert to fraction form
    13,598.70/20,401.29 = 6,205.38/x
  3. Step 3: Cross multiply
    13,598.70x = 20,401.29 × 6,205.38
  4. Step 4: Simplify right side
    13,598.70x = 126,597,756.94
  5. Step 5: Solve for x
    x = 126,597,756.94/13,598.70
  6. Step 6: Final answer
    x = 9,309.55

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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.