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Finding the Fourth Proportional to 12,181.80, 18,261.90 and 7,246.20

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Solution

The fourth proportional to 12,181.80, 18,261.90 and 7,246.20 is: 10,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.80 : 18,261.90 = 7,246.20 : x
  2. Step 2: Convert to fraction form
    12,181.80/18,261.90 = 7,246.20/x
  3. Step 3: Cross multiply
    12,181.80x = 18,261.90 × 7,246.20
  4. Step 4: Simplify right side
    12,181.80x = 132,329,379.78
  5. Step 5: Solve for x
    x = 132,329,379.78/12,181.80
  6. Step 6: Final answer
    x = 10,862.88

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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.