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Finding the Fourth Proportional to 26,595, 36,701.10 and 16,659

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Solution

The fourth proportional to 26,595, 36,701.10 and 16,659 is: 22,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,595 : 36,701.10 = 16,659 : x
  2. Step 2: Convert to fraction form
    26,595/36,701.10 = 16,659/x
  3. Step 3: Cross multiply
    26,595x = 36,701.10 × 16,659
  4. Step 4: Simplify right side
    26,595x = 611,403,624.90
  5. Step 5: Solve for x
    x = 611,403,624.90/26,595
  6. Step 6: Final answer
    x = 22,989.42

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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.