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Finding the Fourth Proportional to 22,854.21, 34,269 and 12,329.88

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Solution

The fourth proportional to 22,854.21, 34,269 and 12,329.88 is: 18,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.21 : 34,269 = 12,329.88 : x
  2. Step 2: Convert to fraction form
    22,854.21/34,269 = 12,329.88/x
  3. Step 3: Cross multiply
    22,854.21x = 34,269 × 12,329.88
  4. Step 4: Simplify right side
    22,854.21x = 422,532,657.72
  5. Step 5: Solve for x
    x = 422,532,657.72/22,854.21
  6. Step 6: Final answer
    x = 18,488.18

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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.