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Finding the Fourth Proportional to 23,144.10, 34,695.36 and 8,349.54

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Solution

The fourth proportional to 23,144.10, 34,695.36 and 8,349.54 is: 12,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.10 : 34,695.36 = 8,349.54 : x
  2. Step 2: Convert to fraction form
    23,144.10/34,695.36 = 8,349.54/x
  3. Step 3: Cross multiply
    23,144.10x = 34,695.36 × 8,349.54
  4. Step 4: Simplify right side
    23,144.10x = 289,690,296.13
  5. Step 5: Solve for x
    x = 289,690,296.13/23,144.10
  6. Step 6: Final answer
    x = 12,516.81

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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.