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Finding the Fourth Proportional to 20,126.40, 30,194.82 and 7,646.64

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Solution

The fourth proportional to 20,126.40, 30,194.82 and 7,646.64 is: 11,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.40 : 30,194.82 = 7,646.64 : x
  2. Step 2: Convert to fraction form
    20,126.40/30,194.82 = 7,646.64/x
  3. Step 3: Cross multiply
    20,126.40x = 30,194.82 × 7,646.64
  4. Step 4: Simplify right side
    20,126.40x = 230,888,918.40
  5. Step 5: Solve for x
    x = 230,888,918.40/20,126.40
  6. Step 6: Final answer
    x = 11,471.94

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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.