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Finding the Fourth Proportional to 12,191.80, 18,287.70 and 8,911.30

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Solution

The fourth proportional to 12,191.80, 18,287.70 and 8,911.30 is: 13,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.80 : 18,287.70 = 8,911.30 : x
  2. Step 2: Convert to fraction form
    12,191.80/18,287.70 = 8,911.30/x
  3. Step 3: Cross multiply
    12,191.80x = 18,287.70 × 8,911.30
  4. Step 4: Simplify right side
    12,191.80x = 162,967,181.01
  5. Step 5: Solve for x
    x = 162,967,181.01/12,191.80
  6. Step 6: Final answer
    x = 13,366.95

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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.