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Finding the Fourth Proportional to 23,309.92, 32,170.01 and 14,234.78

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Solution

The fourth proportional to 23,309.92, 32,170.01 and 14,234.78 is: 19,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.92 : 32,170.01 = 14,234.78 : x
  2. Step 2: Convert to fraction form
    23,309.92/32,170.01 = 14,234.78/x
  3. Step 3: Cross multiply
    23,309.92x = 32,170.01 × 14,234.78
  4. Step 4: Simplify right side
    23,309.92x = 457,932,782.92
  5. Step 5: Solve for x
    x = 457,932,782.92/23,309.92
  6. Step 6: Final answer
    x = 19,645.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.