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Finding the Fourth Proportional to 23,819.68, 32,871.45 and 13,209.49

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Solution

The fourth proportional to 23,819.68, 32,871.45 and 13,209.49 is: 18,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.68 : 32,871.45 = 13,209.49 : x
  2. Step 2: Convert to fraction form
    23,819.68/32,871.45 = 13,209.49/x
  3. Step 3: Cross multiply
    23,819.68x = 32,871.45 × 13,209.49
  4. Step 4: Simplify right side
    23,819.68x = 434,215,090.06
  5. Step 5: Solve for x
    x = 434,215,090.06/23,819.68
  6. Step 6: Final answer
    x = 18,229.26

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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.