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Finding the Fourth Proportional to 22,163.31, 33,219.45 and 9,680.40

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Solution

The fourth proportional to 22,163.31, 33,219.45 and 9,680.40 is: 14,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.31 : 33,219.45 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    22,163.31/33,219.45 = 9,680.40/x
  3. Step 3: Cross multiply
    22,163.31x = 33,219.45 × 9,680.40
  4. Step 4: Simplify right side
    22,163.31x = 321,577,563.78
  5. Step 5: Solve for x
    x = 321,577,563.78/22,163.31
  6. Step 6: Final answer
    x = 14,509.46

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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.