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Finding the Fourth Proportional to 23,072.85, 34,588.49 and 8,278.27

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Solution

The fourth proportional to 23,072.85, 34,588.49 and 8,278.27 is: 12,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.85 : 34,588.49 = 8,278.27 : x
  2. Step 2: Convert to fraction form
    23,072.85/34,588.49 = 8,278.27/x
  3. Step 3: Cross multiply
    23,072.85x = 34,588.49 × 8,278.27
  4. Step 4: Simplify right side
    23,072.85x = 286,332,731.25
  5. Step 5: Solve for x
    x = 286,332,731.25/23,072.85
  6. Step 6: Final answer
    x = 12,409.94

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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.