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Finding the Fourth Proportional to 20,705.20, 31,078.40 and 9,614.40

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Solution

The fourth proportional to 20,705.20, 31,078.40 and 9,614.40 is: 14,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.20 : 31,078.40 = 9,614.40 : x
  2. Step 2: Convert to fraction form
    20,705.20/31,078.40 = 9,614.40/x
  3. Step 3: Cross multiply
    20,705.20x = 31,078.40 × 9,614.40
  4. Step 4: Simplify right side
    20,705.20x = 298,800,168.96
  5. Step 5: Solve for x
    x = 298,800,168.96/20,705.20
  6. Step 6: Final answer
    x = 14,431.17

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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.