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Finding the Fourth Proportional to 22,822.89, 34,234.40 and 8,023.78

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Solution

The fourth proportional to 22,822.89, 34,234.40 and 8,023.78 is: 12,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.89 : 34,234.40 = 8,023.78 : x
  2. Step 2: Convert to fraction form
    22,822.89/34,234.40 = 8,023.78/x
  3. Step 3: Cross multiply
    22,822.89x = 34,234.40 × 8,023.78
  4. Step 4: Simplify right side
    22,822.89x = 274,689,294.03
  5. Step 5: Solve for x
    x = 274,689,294.03/22,822.89
  6. Step 6: Final answer
    x = 12,035.69

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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.