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Finding the Fourth Proportional to 12,367.97, 18,547.67 and 8,229.75

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Solution

The fourth proportional to 12,367.97, 18,547.67 and 8,229.75 is: 12,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.97 : 18,547.67 = 8,229.75 : x
  2. Step 2: Convert to fraction form
    12,367.97/18,547.67 = 8,229.75/x
  3. Step 3: Cross multiply
    12,367.97x = 18,547.67 × 8,229.75
  4. Step 4: Simplify right side
    12,367.97x = 152,642,646.03
  5. Step 5: Solve for x
    x = 152,642,646.03/12,367.97
  6. Step 6: Final answer
    x = 12,341.78

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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.