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Finding the Fourth Proportional to 21,228.94, 31,843.46 and 5,646.57

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Solution

The fourth proportional to 21,228.94, 31,843.46 and 5,646.57 is: 8,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.94 : 31,843.46 = 5,646.57 : x
  2. Step 2: Convert to fraction form
    21,228.94/31,843.46 = 5,646.57/x
  3. Step 3: Cross multiply
    21,228.94x = 31,843.46 × 5,646.57
  4. Step 4: Simplify right side
    21,228.94x = 179,806,220.64
  5. Step 5: Solve for x
    x = 179,806,220.64/21,228.94
  6. Step 6: Final answer
    x = 8,469.86

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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.