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Finding the Fourth Proportional to 15,616.38, 21,550.95 and 8,542.80

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Solution

The fourth proportional to 15,616.38, 21,550.95 and 8,542.80 is: 11,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.38 : 21,550.95 = 8,542.80 : x
  2. Step 2: Convert to fraction form
    15,616.38/21,550.95 = 8,542.80/x
  3. Step 3: Cross multiply
    15,616.38x = 21,550.95 × 8,542.80
  4. Step 4: Simplify right side
    15,616.38x = 184,105,455.66
  5. Step 5: Solve for x
    x = 184,105,455.66/15,616.38
  6. Step 6: Final answer
    x = 11,789.25

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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.