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Finding the Fourth Proportional to 23,082.78, 34,625.88 and 8,291.82

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Solution

The fourth proportional to 23,082.78, 34,625.88 and 8,291.82 is: 12,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.78 : 34,625.88 = 8,291.82 : x
  2. Step 2: Convert to fraction form
    23,082.78/34,625.88 = 8,291.82/x
  3. Step 3: Cross multiply
    23,082.78x = 34,625.88 × 8,291.82
  4. Step 4: Simplify right side
    23,082.78x = 287,111,564.30
  5. Step 5: Solve for x
    x = 287,111,564.30/23,082.78
  6. Step 6: Final answer
    x = 12,438.34

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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.