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Finding the Fourth Proportional to 22,857.11, 34,289.48 and 7,863.63

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Solution

The fourth proportional to 22,857.11, 34,289.48 and 7,863.63 is: 11,796.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.11 : 34,289.48 = 7,863.63 : x
  2. Step 2: Convert to fraction form
    22,857.11/34,289.48 = 7,863.63/x
  3. Step 3: Cross multiply
    22,857.11x = 34,289.48 × 7,863.63
  4. Step 4: Simplify right side
    22,857.11x = 269,639,783.61
  5. Step 5: Solve for x
    x = 269,639,783.61/22,857.11
  6. Step 6: Final answer
    x = 11,796.76

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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.