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Finding the Fourth Proportional to 23,351.38, 32,224.24 and 12,741

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Solution

The fourth proportional to 23,351.38, 32,224.24 and 12,741 is: 17,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.38 : 32,224.24 = 12,741 : x
  2. Step 2: Convert to fraction form
    23,351.38/32,224.24 = 12,741/x
  3. Step 3: Cross multiply
    23,351.38x = 32,224.24 × 12,741
  4. Step 4: Simplify right side
    23,351.38x = 410,569,041.84
  5. Step 5: Solve for x
    x = 410,569,041.84/23,351.38
  6. Step 6: Final answer
    x = 17,582.22

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Why These Related Problems?

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