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Finding the Fourth Proportional to 13,277.46, 18,319.19 and 8,241.90

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Solution

The fourth proportional to 13,277.46, 18,319.19 and 8,241.90 is: 11,371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.46 : 18,319.19 = 8,241.90 : x
  2. Step 2: Convert to fraction form
    13,277.46/18,319.19 = 8,241.90/x
  3. Step 3: Cross multiply
    13,277.46x = 18,319.19 × 8,241.90
  4. Step 4: Simplify right side
    13,277.46x = 150,984,932.06
  5. Step 5: Solve for x
    x = 150,984,932.06/13,277.46
  6. Step 6: Final answer
    x = 11,371.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.