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Finding the Fourth Proportional to 21,228.14, 31,843.83 and 5,645.36

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Solution

The fourth proportional to 21,228.14, 31,843.83 and 5,645.36 is: 8,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.14 : 31,843.83 = 5,645.36 : x
  2. Step 2: Convert to fraction form
    21,228.14/31,843.83 = 5,645.36/x
  3. Step 3: Cross multiply
    21,228.14x = 31,843.83 × 5,645.36
  4. Step 4: Simplify right side
    21,228.14x = 179,769,884.13
  5. Step 5: Solve for x
    x = 179,769,884.13/21,228.14
  6. Step 6: Final answer
    x = 8,468.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.