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Finding the Fourth Proportional to 12,371.85, 18,561.85 and 8,228.16

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Solution

The fourth proportional to 12,371.85, 18,561.85 and 8,228.16 is: 12,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.85 : 18,561.85 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    12,371.85/18,561.85 = 8,228.16/x
  3. Step 3: Cross multiply
    12,371.85x = 18,561.85 × 8,228.16
  4. Step 4: Simplify right side
    12,371.85x = 152,729,851.13
  5. Step 5: Solve for x
    x = 152,729,851.13/12,371.85
  6. Step 6: Final answer
    x = 12,344.95

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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.