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Finding the Fourth Proportional to 12,275.12, 18,414.84 and 4,494.80

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Solution

The fourth proportional to 12,275.12, 18,414.84 and 4,494.80 is: 6,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.12 : 18,414.84 = 4,494.80 : x
  2. Step 2: Convert to fraction form
    12,275.12/18,414.84 = 4,494.80/x
  3. Step 3: Cross multiply
    12,275.12x = 18,414.84 × 4,494.80
  4. Step 4: Simplify right side
    12,275.12x = 82,771,022.83
  5. Step 5: Solve for x
    x = 82,771,022.83/12,275.12
  6. Step 6: Final answer
    x = 6,742.99

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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.