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Finding the Fourth Proportional to 20,902.86, 31,361.49 and 17,806.32

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Solution

The fourth proportional to 20,902.86, 31,361.49 and 17,806.32 is: 26,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.86 : 31,361.49 = 17,806.32 : x
  2. Step 2: Convert to fraction form
    20,902.86/31,361.49 = 17,806.32/x
  3. Step 3: Cross multiply
    20,902.86x = 31,361.49 × 17,806.32
  4. Step 4: Simplify right side
    20,902.86x = 558,432,726.62
  5. Step 5: Solve for x
    x = 558,432,726.62/20,902.86
  6. Step 6: Final answer
    x = 26,715.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.