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Finding the Fourth Proportional to 20,121.68, 30,188.28 and 9,739.28

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Solution

The fourth proportional to 20,121.68, 30,188.28 and 9,739.28 is: 14,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.68 : 30,188.28 = 9,739.28 : x
  2. Step 2: Convert to fraction form
    20,121.68/30,188.28 = 9,739.28/x
  3. Step 3: Cross multiply
    20,121.68x = 30,188.28 × 9,739.28
  4. Step 4: Simplify right side
    20,121.68x = 294,012,111.64
  5. Step 5: Solve for x
    x = 294,012,111.64/20,121.68
  6. Step 6: Final answer
    x = 14,611.71

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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.