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Finding the Fourth Proportional to 22,486.77, 33,724.28 and 6,687.56

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Solution

The fourth proportional to 22,486.77, 33,724.28 and 6,687.56 is: 10,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.77 : 33,724.28 = 6,687.56 : x
  2. Step 2: Convert to fraction form
    22,486.77/33,724.28 = 6,687.56/x
  3. Step 3: Cross multiply
    22,486.77x = 33,724.28 × 6,687.56
  4. Step 4: Simplify right side
    22,486.77x = 225,532,943.90
  5. Step 5: Solve for x
    x = 225,532,943.90/22,486.77
  6. Step 6: Final answer
    x = 10,029.58

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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.