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Finding the Fourth Proportional to 22,993.92, 34,499.84 and 9,144.32

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Solution

The fourth proportional to 22,993.92, 34,499.84 and 9,144.32 is: 13,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.92 : 34,499.84 = 9,144.32 : x
  2. Step 2: Convert to fraction form
    22,993.92/34,499.84 = 9,144.32/x
  3. Step 3: Cross multiply
    22,993.92x = 34,499.84 × 9,144.32
  4. Step 4: Simplify right side
    22,993.92x = 315,477,576.91
  5. Step 5: Solve for x
    x = 315,477,576.91/22,993.92
  6. Step 6: Final answer
    x = 13,720.04

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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.