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Finding the Fourth Proportional to 20,202.93, 30,317.36 and 9,809.01

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Solution

The fourth proportional to 20,202.93, 30,317.36 and 9,809.01 is: 14,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.93 : 30,317.36 = 9,809.01 : x
  2. Step 2: Convert to fraction form
    20,202.93/30,317.36 = 9,809.01/x
  3. Step 3: Cross multiply
    20,202.93x = 30,317.36 × 9,809.01
  4. Step 4: Simplify right side
    20,202.93x = 297,383,238.37
  5. Step 5: Solve for x
    x = 297,383,238.37/20,202.93
  6. Step 6: Final answer
    x = 14,719.81

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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.