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Finding the Fourth Proportional to 20,189.43, 30,284.18 and 9,656.97

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Solution

The fourth proportional to 20,189.43, 30,284.18 and 9,656.97 is: 14,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.43 : 30,284.18 = 9,656.97 : x
  2. Step 2: Convert to fraction form
    20,189.43/30,284.18 = 9,656.97/x
  3. Step 3: Cross multiply
    20,189.43x = 30,284.18 × 9,656.97
  4. Step 4: Simplify right side
    20,189.43x = 292,453,369.45
  5. Step 5: Solve for x
    x = 292,453,369.45/20,189.43
  6. Step 6: Final answer
    x = 14,485.47

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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.