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Finding the Fourth Proportional to 12,226.75, 18,337.19 and 5,646.61

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Solution

The fourth proportional to 12,226.75, 18,337.19 and 5,646.61 is: 8,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.75 : 18,337.19 = 5,646.61 : x
  2. Step 2: Convert to fraction form
    12,226.75/18,337.19 = 5,646.61/x
  3. Step 3: Cross multiply
    12,226.75x = 18,337.19 × 5,646.61
  4. Step 4: Simplify right side
    12,226.75x = 103,542,955.11
  5. Step 5: Solve for x
    x = 103,542,955.11/12,226.75
  6. Step 6: Final answer
    x = 8,468.56

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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.