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Finding the Fourth Proportional to 27,212.80, 40,819.20 and 17,881.60

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Solution

The fourth proportional to 27,212.80, 40,819.20 and 17,881.60 is: 26,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.80 : 40,819.20 = 17,881.60 : x
  2. Step 2: Convert to fraction form
    27,212.80/40,819.20 = 17,881.60/x
  3. Step 3: Cross multiply
    27,212.80x = 40,819.20 × 17,881.60
  4. Step 4: Simplify right side
    27,212.80x = 729,912,606.72
  5. Step 5: Solve for x
    x = 729,912,606.72/27,212.80
  6. Step 6: Final answer
    x = 26,822.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.