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Finding the Fourth Proportional to 22,584.66, 33,879.24 and 7,791.63

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Solution

The fourth proportional to 22,584.66, 33,879.24 and 7,791.63 is: 11,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.66 : 33,879.24 = 7,791.63 : x
  2. Step 2: Convert to fraction form
    22,584.66/33,879.24 = 7,791.63/x
  3. Step 3: Cross multiply
    22,584.66x = 33,879.24 × 7,791.63
  4. Step 4: Simplify right side
    22,584.66x = 263,974,502.76
  5. Step 5: Solve for x
    x = 263,974,502.76/22,584.66
  6. Step 6: Final answer
    x = 11,688.22

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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.