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Finding the Fourth Proportional to 28,857.52, 39,824.49 and 16,282

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Solution

The fourth proportional to 28,857.52, 39,824.49 and 16,282 is: 22,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.52 : 39,824.49 = 16,282 : x
  2. Step 2: Convert to fraction form
    28,857.52/39,824.49 = 16,282/x
  3. Step 3: Cross multiply
    28,857.52x = 39,824.49 × 16,282
  4. Step 4: Simplify right side
    28,857.52x = 648,422,346.18
  5. Step 5: Solve for x
    x = 648,422,346.18/28,857.52
  6. Step 6: Final answer
    x = 22,469.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.