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Finding the Fourth Proportional to 20,301.75, 30,446.13 and 6,447.51

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Solution

The fourth proportional to 20,301.75, 30,446.13 and 6,447.51 is: 9,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.75 : 30,446.13 = 6,447.51 : x
  2. Step 2: Convert to fraction form
    20,301.75/30,446.13 = 6,447.51/x
  3. Step 3: Cross multiply
    20,301.75x = 30,446.13 × 6,447.51
  4. Step 4: Simplify right side
    20,301.75x = 196,301,727.64
  5. Step 5: Solve for x
    x = 196,301,727.64/20,301.75
  6. Step 6: Final answer
    x = 9,669.20

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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.