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Finding the Fourth Proportional to 22,447.98, 33,672.14 and 9,964.65

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Solution

The fourth proportional to 22,447.98, 33,672.14 and 9,964.65 is: 14,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.98 : 33,672.14 = 9,964.65 : x
  2. Step 2: Convert to fraction form
    22,447.98/33,672.14 = 9,964.65/x
  3. Step 3: Cross multiply
    22,447.98x = 33,672.14 × 9,964.65
  4. Step 4: Simplify right side
    22,447.98x = 335,531,047.76
  5. Step 5: Solve for x
    x = 335,531,047.76/22,447.98
  6. Step 6: Final answer
    x = 14,947.05

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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.