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Finding the Fourth Proportional to 21,228.82, 31,843.28 and 5,646.45

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Solution

The fourth proportional to 21,228.82, 31,843.28 and 5,646.45 is: 8,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.82 : 31,843.28 = 5,646.45 : x
  2. Step 2: Convert to fraction form
    21,228.82/31,843.28 = 5,646.45/x
  3. Step 3: Cross multiply
    21,228.82x = 31,843.28 × 5,646.45
  4. Step 4: Simplify right side
    21,228.82x = 179,801,300.91
  5. Step 5: Solve for x
    x = 179,801,300.91/21,228.82
  6. Step 6: Final answer
    x = 8,469.68

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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.