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Finding the Fourth Proportional to 20,244.17, 27,937 and 11,292.24

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Solution

The fourth proportional to 20,244.17, 27,937 and 11,292.24 is: 15,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,244.17 : 27,937 = 11,292.24 : x
  2. Step 2: Convert to fraction form
    20,244.17/27,937 = 11,292.24/x
  3. Step 3: Cross multiply
    20,244.17x = 27,937 × 11,292.24
  4. Step 4: Simplify right side
    20,244.17x = 315,471,308.88
  5. Step 5: Solve for x
    x = 315,471,308.88/20,244.17
  6. Step 6: Final answer
    x = 15,583.32

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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.