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Finding the Fourth Proportional to 22,473.78, 33,709.86 and 6,891

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Solution

The fourth proportional to 22,473.78, 33,709.86 and 6,891 is: 10,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.78 : 33,709.86 = 6,891 : x
  2. Step 2: Convert to fraction form
    22,473.78/33,709.86 = 6,891/x
  3. Step 3: Cross multiply
    22,473.78x = 33,709.86 × 6,891
  4. Step 4: Simplify right side
    22,473.78x = 232,294,645.26
  5. Step 5: Solve for x
    x = 232,294,645.26/22,473.78
  6. Step 6: Final answer
    x = 10,336.25

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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.