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Finding the Fourth Proportional to 16,162.25, 24,236.95 and 6,806.75

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Solution

The fourth proportional to 16,162.25, 24,236.95 and 6,806.75 is: 10,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.25 : 24,236.95 = 6,806.75 : x
  2. Step 2: Convert to fraction form
    16,162.25/24,236.95 = 6,806.75/x
  3. Step 3: Cross multiply
    16,162.25x = 24,236.95 × 6,806.75
  4. Step 4: Simplify right side
    16,162.25x = 164,974,859.41
  5. Step 5: Solve for x
    x = 164,974,859.41/16,162.25
  6. Step 6: Final answer
    x = 10,207.42

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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.