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Finding the Fourth Proportional to 22,474.92, 33,693.34 and 9,319.08

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Solution

The fourth proportional to 22,474.92, 33,693.34 and 9,319.08 is: 13,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.92 : 33,693.34 = 9,319.08 : x
  2. Step 2: Convert to fraction form
    22,474.92/33,693.34 = 9,319.08/x
  3. Step 3: Cross multiply
    22,474.92x = 33,693.34 × 9,319.08
  4. Step 4: Simplify right side
    22,474.92x = 313,990,930.93
  5. Step 5: Solve for x
    x = 313,990,930.93/22,474.92
  6. Step 6: Final answer
    x = 13,970.73

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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.