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Finding the Fourth Proportional to 20,288.96, 30,419.12 and 7,798.46

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Solution

The fourth proportional to 20,288.96, 30,419.12 and 7,798.46 is: 11,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.96 : 30,419.12 = 7,798.46 : x
  2. Step 2: Convert to fraction form
    20,288.96/30,419.12 = 7,798.46/x
  3. Step 3: Cross multiply
    20,288.96x = 30,419.12 × 7,798.46
  4. Step 4: Simplify right side
    20,288.96x = 237,222,290.56
  5. Step 5: Solve for x
    x = 237,222,290.56/20,288.96
  6. Step 6: Final answer
    x = 11,692.19

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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.