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Finding the Fourth Proportional to 20,419.40, 30,614.62 and 7,928.90

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Solution

The fourth proportional to 20,419.40, 30,614.62 and 7,928.90 is: 11,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.40 : 30,614.62 = 7,928.90 : x
  2. Step 2: Convert to fraction form
    20,419.40/30,614.62 = 7,928.90/x
  3. Step 3: Cross multiply
    20,419.40x = 30,614.62 × 7,928.90
  4. Step 4: Simplify right side
    20,419.40x = 242,740,260.52
  5. Step 5: Solve for x
    x = 242,740,260.52/20,419.40
  6. Step 6: Final answer
    x = 11,887.73

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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.