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Finding the Fourth Proportional to 22,854.82, 34,286.06 and 7,861.34

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Solution

The fourth proportional to 22,854.82, 34,286.06 and 7,861.34 is: 11,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.82 : 34,286.06 = 7,861.34 : x
  2. Step 2: Convert to fraction form
    22,854.82/34,286.06 = 7,861.34/x
  3. Step 3: Cross multiply
    22,854.82x = 34,286.06 × 7,861.34
  4. Step 4: Simplify right side
    22,854.82x = 269,534,164.18
  5. Step 5: Solve for x
    x = 269,534,164.18/22,854.82
  6. Step 6: Final answer
    x = 11,793.32

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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.