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Finding the Fourth Proportional to 23,023.38, 34,530 and 8,233.32

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Solution

The fourth proportional to 23,023.38, 34,530 and 8,233.32 is: 12,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023.38 : 34,530 = 8,233.32 : x
  2. Step 2: Convert to fraction form
    23,023.38/34,530 = 8,233.32/x
  3. Step 3: Cross multiply
    23,023.38x = 34,530 × 8,233.32
  4. Step 4: Simplify right side
    23,023.38x = 284,296,539.60
  5. Step 5: Solve for x
    x = 284,296,539.60/23,023.38
  6. Step 6: Final answer
    x = 12,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.