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Finding the Fourth Proportional to 23,857.68, 35,785.89 and 6,327.66

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Solution

The fourth proportional to 23,857.68, 35,785.89 and 6,327.66 is: 9,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.68 : 35,785.89 = 6,327.66 : x
  2. Step 2: Convert to fraction form
    23,857.68/35,785.89 = 6,327.66/x
  3. Step 3: Cross multiply
    23,857.68x = 35,785.89 × 6,327.66
  4. Step 4: Simplify right side
    23,857.68x = 226,440,944.72
  5. Step 5: Solve for x
    x = 226,440,944.72/23,857.68
  6. Step 6: Final answer
    x = 9,491.32

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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.