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Finding the Fourth Proportional to 22,759.24, 34,131.96 and 7,965.40

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Solution

The fourth proportional to 22,759.24, 34,131.96 and 7,965.40 is: 11,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.24 : 34,131.96 = 7,965.40 : x
  2. Step 2: Convert to fraction form
    22,759.24/34,131.96 = 7,965.40/x
  3. Step 3: Cross multiply
    22,759.24x = 34,131.96 × 7,965.40
  4. Step 4: Simplify right side
    22,759.24x = 271,874,714.18
  5. Step 5: Solve for x
    x = 271,874,714.18/22,759.24
  6. Step 6: Final answer
    x = 11,945.69

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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.