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Finding the Fourth Proportional to 12,216.84, 18,331 and 8,474.32

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Solution

The fourth proportional to 12,216.84, 18,331 and 8,474.32 is: 12,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.84 : 18,331 = 8,474.32 : x
  2. Step 2: Convert to fraction form
    12,216.84/18,331 = 8,474.32/x
  3. Step 3: Cross multiply
    12,216.84x = 18,331 × 8,474.32
  4. Step 4: Simplify right side
    12,216.84x = 155,342,759.92
  5. Step 5: Solve for x
    x = 155,342,759.92/12,216.84
  6. Step 6: Final answer
    x = 12,715.46

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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.