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Finding the Fourth Proportional to 12,226.80, 18,339.57 and 3,461.74

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Solution

The fourth proportional to 12,226.80, 18,339.57 and 3,461.74 is: 5,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.80 : 18,339.57 = 3,461.74 : x
  2. Step 2: Convert to fraction form
    12,226.80/18,339.57 = 3,461.74/x
  3. Step 3: Cross multiply
    12,226.80x = 18,339.57 × 3,461.74
  4. Step 4: Simplify right side
    12,226.80x = 63,486,823.05
  5. Step 5: Solve for x
    x = 63,486,823.05/12,226.80
  6. Step 6: Final answer
    x = 5,192.43

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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.