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Finding the Fourth Proportional to 23,819.82, 32,871.58 and 13,209.22

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Solution

The fourth proportional to 23,819.82, 32,871.58 and 13,209.22 is: 18,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.82 : 32,871.58 = 13,209.22 : x
  2. Step 2: Convert to fraction form
    23,819.82/32,871.58 = 13,209.22/x
  3. Step 3: Cross multiply
    23,819.82x = 32,871.58 × 13,209.22
  4. Step 4: Simplify right side
    23,819.82x = 434,207,931.97
  5. Step 5: Solve for x
    x = 434,207,931.97/23,819.82
  6. Step 6: Final answer
    x = 18,228.85

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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.