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Finding the Fourth Proportional to 13,400.46, 20,101.65 and 3,539.64

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Solution

The fourth proportional to 13,400.46, 20,101.65 and 3,539.64 is: 5,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.46 : 20,101.65 = 3,539.64 : x
  2. Step 2: Convert to fraction form
    13,400.46/20,101.65 = 3,539.64/x
  3. Step 3: Cross multiply
    13,400.46x = 20,101.65 × 3,539.64
  4. Step 4: Simplify right side
    13,400.46x = 71,152,604.41
  5. Step 5: Solve for x
    x = 71,152,604.41/13,400.46
  6. Step 6: Final answer
    x = 5,309.71

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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.