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Finding the Fourth Proportional to 13,600.32, 20,401 and 3,740.38

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Solution

The fourth proportional to 13,600.32, 20,401 and 3,740.38 is: 5,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.32 : 20,401 = 3,740.38 : x
  2. Step 2: Convert to fraction form
    13,600.32/20,401 = 3,740.38/x
  3. Step 3: Cross multiply
    13,600.32x = 20,401 × 3,740.38
  4. Step 4: Simplify right side
    13,600.32x = 76,307,492.38
  5. Step 5: Solve for x
    x = 76,307,492.38/13,600.32
  6. Step 6: Final answer
    x = 5,610.71

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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.