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Finding the Fourth Proportional to 26,500.36, 36,571.17 and 14,564

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Solution

The fourth proportional to 26,500.36, 36,571.17 and 14,564 is: 20,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.36 : 36,571.17 = 14,564 : x
  2. Step 2: Convert to fraction form
    26,500.36/36,571.17 = 14,564/x
  3. Step 3: Cross multiply
    26,500.36x = 36,571.17 × 14,564
  4. Step 4: Simplify right side
    26,500.36x = 532,622,519.88
  5. Step 5: Solve for x
    x = 532,622,519.88/26,500.36
  6. Step 6: Final answer
    x = 20,098.69

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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.