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Finding the Fourth Proportional to 22,230.41, 33,349.72 and 7,036.80

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Solution

The fourth proportional to 22,230.41, 33,349.72 and 7,036.80 is: 10,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.41 : 33,349.72 = 7,036.80 : x
  2. Step 2: Convert to fraction form
    22,230.41/33,349.72 = 7,036.80/x
  3. Step 3: Cross multiply
    22,230.41x = 33,349.72 × 7,036.80
  4. Step 4: Simplify right side
    22,230.41x = 234,675,250.42
  5. Step 5: Solve for x
    x = 234,675,250.42/22,230.41
  6. Step 6: Final answer
    x = 10,556.50

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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.