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Finding the Fourth Proportional to 28,841.44, 39,801.90 and 16,267

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Solution

The fourth proportional to 28,841.44, 39,801.90 and 16,267 is: 22,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,841.44 : 39,801.90 = 16,267 : x
  2. Step 2: Convert to fraction form
    28,841.44/39,801.90 = 16,267/x
  3. Step 3: Cross multiply
    28,841.44x = 39,801.90 × 16,267
  4. Step 4: Simplify right side
    28,841.44x = 647,457,507.30
  5. Step 5: Solve for x
    x = 647,457,507.30/28,841.44
  6. Step 6: Final answer
    x = 22,448.86

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Why These Related Problems?

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