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Finding the Fourth Proportional to 12,194.57, 18,292.52 and 3,873.98

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Solution

The fourth proportional to 12,194.57, 18,292.52 and 3,873.98 is: 5,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.57 : 18,292.52 = 3,873.98 : x
  2. Step 2: Convert to fraction form
    12,194.57/18,292.52 = 3,873.98/x
  3. Step 3: Cross multiply
    12,194.57x = 18,292.52 × 3,873.98
  4. Step 4: Simplify right side
    12,194.57x = 70,864,774.85
  5. Step 5: Solve for x
    x = 70,864,774.85/12,194.57
  6. Step 6: Final answer
    x = 5,811.18

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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.