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Finding the Fourth Proportional to 26,649.92, 36,780 and 22,165.76

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Solution

The fourth proportional to 26,649.92, 36,780 and 22,165.76 is: 30,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649.92 : 36,780 = 22,165.76 : x
  2. Step 2: Convert to fraction form
    26,649.92/36,780 = 22,165.76/x
  3. Step 3: Cross multiply
    26,649.92x = 36,780 × 22,165.76
  4. Step 4: Simplify right side
    26,649.92x = 815,256,652.80
  5. Step 5: Solve for x
    x = 815,256,652.80/26,649.92
  6. Step 6: Final answer
    x = 30,591.34

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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.