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Finding the Fourth Proportional to 23,354.43, 32,229.19 and 12,744.24

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Solution

The fourth proportional to 23,354.43, 32,229.19 and 12,744.24 is: 17,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.43 : 32,229.19 = 12,744.24 : x
  2. Step 2: Convert to fraction form
    23,354.43/32,229.19 = 12,744.24/x
  3. Step 3: Cross multiply
    23,354.43x = 32,229.19 × 12,744.24
  4. Step 4: Simplify right side
    23,354.43x = 410,736,532.37
  5. Step 5: Solve for x
    x = 410,736,532.37/23,354.43
  6. Step 6: Final answer
    x = 17,587.09

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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.