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Finding the Fourth Proportional to 20,148.16, 27,803.91 and 11,195.43

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Solution

The fourth proportional to 20,148.16, 27,803.91 and 11,195.43 is: 15,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.16 : 27,803.91 = 11,195.43 : x
  2. Step 2: Convert to fraction form
    20,148.16/27,803.91 = 11,195.43/x
  3. Step 3: Cross multiply
    20,148.16x = 27,803.91 × 11,195.43
  4. Step 4: Simplify right side
    20,148.16x = 311,276,728.13
  5. Step 5: Solve for x
    x = 311,276,728.13/20,148.16
  6. Step 6: Final answer
    x = 15,449.39

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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.