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Finding the Fourth Proportional to 13,493.10, 20,239.77 and 5,171.13

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Solution

The fourth proportional to 13,493.10, 20,239.77 and 5,171.13 is: 7,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.10 : 20,239.77 = 5,171.13 : x
  2. Step 2: Convert to fraction form
    13,493.10/20,239.77 = 5,171.13/x
  3. Step 3: Cross multiply
    13,493.10x = 20,239.77 × 5,171.13
  4. Step 4: Simplify right side
    13,493.10x = 104,662,481.84
  5. Step 5: Solve for x
    x = 104,662,481.84/13,493.10
  6. Step 6: Final answer
    x = 7,756.74

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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.