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Finding the Fourth Proportional to 18,142, 27,209.84 and 4,815.08

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Solution

The fourth proportional to 18,142, 27,209.84 and 4,815.08 is: 7,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142 : 27,209.84 = 4,815.08 : x
  2. Step 2: Convert to fraction form
    18,142/27,209.84 = 4,815.08/x
  3. Step 3: Cross multiply
    18,142x = 27,209.84 × 4,815.08
  4. Step 4: Simplify right side
    18,142x = 131,017,556.39
  5. Step 5: Solve for x
    x = 131,017,556.39/18,142
  6. Step 6: Final answer
    x = 7,221.78

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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.