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Finding the Fourth Proportional to 22,865.32, 34,289.44 and 7,868.24

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Solution

The fourth proportional to 22,865.32, 34,289.44 and 7,868.24 is: 11,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.32 : 34,289.44 = 7,868.24 : x
  2. Step 2: Convert to fraction form
    22,865.32/34,289.44 = 7,868.24/x
  3. Step 3: Cross multiply
    22,865.32x = 34,289.44 × 7,868.24
  4. Step 4: Simplify right side
    22,865.32x = 269,797,525.11
  5. Step 5: Solve for x
    x = 269,797,525.11/22,865.32
  6. Step 6: Final answer
    x = 11,799.42

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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.