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Finding the Fourth Proportional to 23,114.52, 34,650.72 and 8,319.96

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Solution

The fourth proportional to 23,114.52, 34,650.72 and 8,319.96 is: 12,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.52 : 34,650.72 = 8,319.96 : x
  2. Step 2: Convert to fraction form
    23,114.52/34,650.72 = 8,319.96/x
  3. Step 3: Cross multiply
    23,114.52x = 34,650.72 × 8,319.96
  4. Step 4: Simplify right side
    23,114.52x = 288,292,604.37
  5. Step 5: Solve for x
    x = 288,292,604.37/23,114.52
  6. Step 6: Final answer
    x = 12,472.36

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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.