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Finding the Fourth Proportional to 22,863.48, 34,286.37 and 7,867.76

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Solution

The fourth proportional to 22,863.48, 34,286.37 and 7,867.76 is: 11,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863.48 : 34,286.37 = 7,867.76 : x
  2. Step 2: Convert to fraction form
    22,863.48/34,286.37 = 7,867.76/x
  3. Step 3: Cross multiply
    22,863.48x = 34,286.37 × 7,867.76
  4. Step 4: Simplify right side
    22,863.48x = 269,756,729.50
  5. Step 5: Solve for x
    x = 269,756,729.50/22,863.48
  6. Step 6: Final answer
    x = 11,798.59

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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.