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Finding the Fourth Proportional to 21,785.12, 32,682.60 and 7,934

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Solution

The fourth proportional to 21,785.12, 32,682.60 and 7,934 is: 11,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.12 : 32,682.60 = 7,934 : x
  2. Step 2: Convert to fraction form
    21,785.12/32,682.60 = 7,934/x
  3. Step 3: Cross multiply
    21,785.12x = 32,682.60 × 7,934
  4. Step 4: Simplify right side
    21,785.12x = 259,303,748.40
  5. Step 5: Solve for x
    x = 259,303,748.40/21,785.12
  6. Step 6: Final answer
    x = 11,902.79

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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.