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Finding the Fourth Proportional to 22,761.76, 34,135.96 and 7,967.92

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Solution

The fourth proportional to 22,761.76, 34,135.96 and 7,967.92 is: 11,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.76 : 34,135.96 = 7,967.92 : x
  2. Step 2: Convert to fraction form
    22,761.76/34,135.96 = 7,967.92/x
  3. Step 3: Cross multiply
    22,761.76x = 34,135.96 × 7,967.92
  4. Step 4: Simplify right side
    22,761.76x = 271,992,598.40
  5. Step 5: Solve for x
    x = 271,992,598.40/22,761.76
  6. Step 6: Final answer
    x = 11,949.54

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1.5x scale

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.