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Finding the Fourth Proportional to 20,027.32, 30,019.78 and 6,696.95

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Solution

The fourth proportional to 20,027.32, 30,019.78 and 6,696.95 is: 10,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.32 : 30,019.78 = 6,696.95 : x
  2. Step 2: Convert to fraction form
    20,027.32/30,019.78 = 6,696.95/x
  3. Step 3: Cross multiply
    20,027.32x = 30,019.78 × 6,696.95
  4. Step 4: Simplify right side
    20,027.32x = 201,040,823.94
  5. Step 5: Solve for x
    x = 201,040,823.94/20,027.32
  6. Step 6: Final answer
    x = 10,038.33

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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.