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Finding the Fourth Proportional to 20,402.56, 30,601.14 and 9,297.28

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Solution

The fourth proportional to 20,402.56, 30,601.14 and 9,297.28 is: 13,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.56 : 30,601.14 = 9,297.28 : x
  2. Step 2: Convert to fraction form
    20,402.56/30,601.14 = 9,297.28/x
  3. Step 3: Cross multiply
    20,402.56x = 30,601.14 × 9,297.28
  4. Step 4: Simplify right side
    20,402.56x = 284,507,366.90
  5. Step 5: Solve for x
    x = 284,507,366.90/20,402.56
  6. Step 6: Final answer
    x = 13,944.69

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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.