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Finding the Fourth Proportional to 22,758.26, 34,130.71 and 7,964.42

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Solution

The fourth proportional to 22,758.26, 34,130.71 and 7,964.42 is: 11,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.26 : 34,130.71 = 7,964.42 : x
  2. Step 2: Convert to fraction form
    22,758.26/34,130.71 = 7,964.42/x
  3. Step 3: Cross multiply
    22,758.26x = 34,130.71 × 7,964.42
  4. Step 4: Simplify right side
    22,758.26x = 271,831,269.52
  5. Step 5: Solve for x
    x = 271,831,269.52/22,758.26
  6. Step 6: Final answer
    x = 11,944.29

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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.