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Finding the Fourth Proportional to 22,642.98, 33,964.47 and 7,061.82

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Solution

The fourth proportional to 22,642.98, 33,964.47 and 7,061.82 is: 10,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.98 : 33,964.47 = 7,061.82 : x
  2. Step 2: Convert to fraction form
    22,642.98/33,964.47 = 7,061.82/x
  3. Step 3: Cross multiply
    22,642.98x = 33,964.47 × 7,061.82
  4. Step 4: Simplify right side
    22,642.98x = 239,850,973.54
  5. Step 5: Solve for x
    x = 239,850,973.54/22,642.98
  6. Step 6: Final answer
    x = 10,592.73

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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.