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Finding the Fourth Proportional to 26,137, 36,098.76 and 17,738.92

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Solution

The fourth proportional to 26,137, 36,098.76 and 17,738.92 is: 24,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137 : 36,098.76 = 17,738.92 : x
  2. Step 2: Convert to fraction form
    26,137/36,098.76 = 17,738.92/x
  3. Step 3: Cross multiply
    26,137x = 36,098.76 × 17,738.92
  4. Step 4: Simplify right side
    26,137x = 640,353,015.74
  5. Step 5: Solve for x
    x = 640,353,015.74/26,137
  6. Step 6: Final answer
    x = 24,499.87

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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.