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Finding the Fourth Proportional to 26,616, 36,744.48 and 16,008

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Solution

The fourth proportional to 26,616, 36,744.48 and 16,008 is: 22,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,616 : 36,744.48 = 16,008 : x
  2. Step 2: Convert to fraction form
    26,616/36,744.48 = 16,008/x
  3. Step 3: Cross multiply
    26,616x = 36,744.48 × 16,008
  4. Step 4: Simplify right side
    26,616x = 588,205,635.84
  5. Step 5: Solve for x
    x = 588,205,635.84/26,616
  6. Step 6: Final answer
    x = 22,099.70

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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.