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Finding the Fourth Proportional to 22,748.52, 34,125.96 and 7,954.07

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Solution

The fourth proportional to 22,748.52, 34,125.96 and 7,954.07 is: 11,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748.52 : 34,125.96 = 7,954.07 : x
  2. Step 2: Convert to fraction form
    22,748.52/34,125.96 = 7,954.07/x
  3. Step 3: Cross multiply
    22,748.52x = 34,125.96 × 7,954.07
  4. Step 4: Simplify right side
    22,748.52x = 271,440,104.03
  5. Step 5: Solve for x
    x = 271,440,104.03/22,748.52
  6. Step 6: Final answer
    x = 11,932.21

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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.