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Finding the Fourth Proportional to 20,147.78, 27,803.78 and 11,195.12

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Solution

The fourth proportional to 20,147.78, 27,803.78 and 11,195.12 is: 15,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.78 : 27,803.78 = 11,195.12 : x
  2. Step 2: Convert to fraction form
    20,147.78/27,803.78 = 11,195.12/x
  3. Step 3: Cross multiply
    20,147.78x = 27,803.78 × 11,195.12
  4. Step 4: Simplify right side
    20,147.78x = 311,266,653.55
  5. Step 5: Solve for x
    x = 311,266,653.55/20,147.78
  6. Step 6: Final answer
    x = 15,449.18

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1.5x scale

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.