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Finding the Fourth Proportional to 20,151.95, 27,807.57 and 11,198.00

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Solution

The fourth proportional to 20,151.95, 27,807.57 and 11,198.00 is: 15,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.95 : 27,807.57 = 11,198.00 : x
  2. Step 2: Convert to fraction form
    20,151.95/27,807.57 = 11,198.00/x
  3. Step 3: Cross multiply
    20,151.95x = 27,807.57 × 11,198.00
  4. Step 4: Simplify right side
    20,151.95x = 311,389,238.38
  5. Step 5: Solve for x
    x = 311,389,238.38/20,151.95
  6. Step 6: Final answer
    x = 15,452.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.