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Finding the Fourth Proportional to 23,489.86, 35,234.10 and 9,445.54

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Solution

The fourth proportional to 23,489.86, 35,234.10 and 9,445.54 is: 14,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.86 : 35,234.10 = 9,445.54 : x
  2. Step 2: Convert to fraction form
    23,489.86/35,234.10 = 9,445.54/x
  3. Step 3: Cross multiply
    23,489.86x = 35,234.10 × 9,445.54
  4. Step 4: Simplify right side
    23,489.86x = 332,805,100.91
  5. Step 5: Solve for x
    x = 332,805,100.91/23,489.86
  6. Step 6: Final answer
    x = 14,168.03

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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.