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Finding the Fourth Proportional to 12,078.76, 18,116.04 and 3,194.18

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Solution

The fourth proportional to 12,078.76, 18,116.04 and 3,194.18 is: 4,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.76 : 18,116.04 = 3,194.18 : x
  2. Step 2: Convert to fraction form
    12,078.76/18,116.04 = 3,194.18/x
  3. Step 3: Cross multiply
    12,078.76x = 18,116.04 × 3,194.18
  4. Step 4: Simplify right side
    12,078.76x = 57,865,892.65
  5. Step 5: Solve for x
    x = 57,865,892.65/12,078.76
  6. Step 6: Final answer
    x = 4,790.72

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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.