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Finding the Fourth Proportional to 23,351.46, 32,224.92 and 12,741

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Solution

The fourth proportional to 23,351.46, 32,224.92 and 12,741 is: 17,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.46 : 32,224.92 = 12,741 : x
  2. Step 2: Convert to fraction form
    23,351.46/32,224.92 = 12,741/x
  3. Step 3: Cross multiply
    23,351.46x = 32,224.92 × 12,741
  4. Step 4: Simplify right side
    23,351.46x = 410,577,705.72
  5. Step 5: Solve for x
    x = 410,577,705.72/23,351.46
  6. Step 6: Final answer
    x = 17,582.53

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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.