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Finding the Fourth Proportional to 18,527.10, 27,791.06 and 6,681.82

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Solution

The fourth proportional to 18,527.10, 27,791.06 and 6,681.82 is: 10,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527.10 : 27,791.06 = 6,681.82 : x
  2. Step 2: Convert to fraction form
    18,527.10/27,791.06 = 6,681.82/x
  3. Step 3: Cross multiply
    18,527.10x = 27,791.06 × 6,681.82
  4. Step 4: Simplify right side
    18,527.10x = 185,694,860.53
  5. Step 5: Solve for x
    x = 185,694,860.53/18,527.10
  6. Step 6: Final answer
    x = 10,022.88

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Why These Related Problems?

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