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Finding the Fourth Proportional to 20,956.79, 31,441.97 and 6,165.79

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Solution

The fourth proportional to 20,956.79, 31,441.97 and 6,165.79 is: 9,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.79 : 31,441.97 = 6,165.79 : x
  2. Step 2: Convert to fraction form
    20,956.79/31,441.97 = 6,165.79/x
  3. Step 3: Cross multiply
    20,956.79x = 31,441.97 × 6,165.79
  4. Step 4: Simplify right side
    20,956.79x = 193,864,521.02
  5. Step 5: Solve for x
    x = 193,864,521.02/20,956.79
  6. Step 6: Final answer
    x = 9,250.68

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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.