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Finding the Fourth Proportional to 18,015.32, 27,024.28 and 6,922

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Solution

The fourth proportional to 18,015.32, 27,024.28 and 6,922 is: 10,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,015.32 : 27,024.28 = 6,922 : x
  2. Step 2: Convert to fraction form
    18,015.32/27,024.28 = 6,922/x
  3. Step 3: Cross multiply
    18,015.32x = 27,024.28 × 6,922
  4. Step 4: Simplify right side
    18,015.32x = 187,062,066.16
  5. Step 5: Solve for x
    x = 187,062,066.16/18,015.32
  6. Step 6: Final answer
    x = 10,383.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.