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Finding the Fourth Proportional to 12,226.21, 18,326.49 and 5,656.71

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Solution

The fourth proportional to 12,226.21, 18,326.49 and 5,656.71 is: 8,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.21 : 18,326.49 = 5,656.71 : x
  2. Step 2: Convert to fraction form
    12,226.21/18,326.49 = 5,656.71/x
  3. Step 3: Cross multiply
    12,226.21x = 18,326.49 × 5,656.71
  4. Step 4: Simplify right side
    12,226.21x = 103,667,639.25
  5. Step 5: Solve for x
    x = 103,667,639.25/12,226.21
  6. Step 6: Final answer
    x = 8,479.13

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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.