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Finding the Fourth Proportional to 20,112.39, 27,754.92 and 11,616.30

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Solution

The fourth proportional to 20,112.39, 27,754.92 and 11,616.30 is: 16,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.39 : 27,754.92 = 11,616.30 : x
  2. Step 2: Convert to fraction form
    20,112.39/27,754.92 = 11,616.30/x
  3. Step 3: Cross multiply
    20,112.39x = 27,754.92 × 11,616.30
  4. Step 4: Simplify right side
    20,112.39x = 322,409,477.20
  5. Step 5: Solve for x
    x = 322,409,477.20/20,112.39
  6. Step 6: Final answer
    x = 16,030.39

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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.