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Finding the Fourth Proportional to 26,083, 35,998.19 and 16,012.27

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Solution

The fourth proportional to 26,083, 35,998.19 and 16,012.27 is: 22,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,083 : 35,998.19 = 16,012.27 : x
  2. Step 2: Convert to fraction form
    26,083/35,998.19 = 16,012.27/x
  3. Step 3: Cross multiply
    26,083x = 35,998.19 × 16,012.27
  4. Step 4: Simplify right side
    26,083x = 576,412,737.79
  5. Step 5: Solve for x
    x = 576,412,737.79/26,083
  6. Step 6: Final answer
    x = 22,099.17

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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.