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Finding the Fourth Proportional to 23,311.50, 34,972.79 and 7,729.13

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Solution

The fourth proportional to 23,311.50, 34,972.79 and 7,729.13 is: 11,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.50 : 34,972.79 = 7,729.13 : x
  2. Step 2: Convert to fraction form
    23,311.50/34,972.79 = 7,729.13/x
  3. Step 3: Cross multiply
    23,311.50x = 34,972.79 × 7,729.13
  4. Step 4: Simplify right side
    23,311.50x = 270,309,026.86
  5. Step 5: Solve for x
    x = 270,309,026.86/23,311.50
  6. Step 6: Final answer
    x = 11,595.52

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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.