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Finding the Fourth Proportional to 22,967.49, 34,419.15 and 12,414.76

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Solution

The fourth proportional to 22,967.49, 34,419.15 and 12,414.76 is: 18,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.49 : 34,419.15 = 12,414.76 : x
  2. Step 2: Convert to fraction form
    22,967.49/34,419.15 = 12,414.76/x
  3. Step 3: Cross multiply
    22,967.49x = 34,419.15 × 12,414.76
  4. Step 4: Simplify right side
    22,967.49x = 427,305,486.65
  5. Step 5: Solve for x
    x = 427,305,486.65/22,967.49
  6. Step 6: Final answer
    x = 18,604.80

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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.