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Finding the Fourth Proportional to 23,244.50, 34,872.22 and 7,662.13

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Solution

The fourth proportional to 23,244.50, 34,872.22 and 7,662.13 is: 11,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,244.50 : 34,872.22 = 7,662.13 : x
  2. Step 2: Convert to fraction form
    23,244.50/34,872.22 = 7,662.13/x
  3. Step 3: Cross multiply
    23,244.50x = 34,872.22 × 7,662.13
  4. Step 4: Simplify right side
    23,244.50x = 267,195,308.67
  5. Step 5: Solve for x
    x = 267,195,308.67/23,244.50
  6. Step 6: Final answer
    x = 11,494.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.