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Finding the Fourth Proportional to 13,493.71, 20,241.92 and 4,133.62

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Solution

The fourth proportional to 13,493.71, 20,241.92 and 4,133.62 is: 6,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.71 : 20,241.92 = 4,133.62 : x
  2. Step 2: Convert to fraction form
    13,493.71/20,241.92 = 4,133.62/x
  3. Step 3: Cross multiply
    13,493.71x = 20,241.92 × 4,133.62
  4. Step 4: Simplify right side
    13,493.71x = 83,672,405.35
  5. Step 5: Solve for x
    x = 83,672,405.35/13,493.71
  6. Step 6: Final answer
    x = 6,200.85

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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.