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Finding the Fourth Proportional to 22,377.28, 33,544.95 and 7,575.84

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Solution

The fourth proportional to 22,377.28, 33,544.95 and 7,575.84 is: 11,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.28 : 33,544.95 = 7,575.84 : x
  2. Step 2: Convert to fraction form
    22,377.28/33,544.95 = 7,575.84/x
  3. Step 3: Cross multiply
    22,377.28x = 33,544.95 × 7,575.84
  4. Step 4: Simplify right side
    22,377.28x = 254,131,174.01
  5. Step 5: Solve for x
    x = 254,131,174.01/22,377.28
  6. Step 6: Final answer
    x = 11,356.66

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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.