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Finding the Fourth Proportional to 27,666, 41,500.08 and 11,034

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Solution

The fourth proportional to 27,666, 41,500.08 and 11,034 is: 16,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 41,500.08 = 11,034 : x
  2. Step 2: Convert to fraction form
    27,666/41,500.08 = 11,034/x
  3. Step 3: Cross multiply
    27,666x = 41,500.08 × 11,034
  4. Step 4: Simplify right side
    27,666x = 457,911,882.72
  5. Step 5: Solve for x
    x = 457,911,882.72/27,666
  6. Step 6: Final answer
    x = 16,551.43

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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.