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Finding the Fourth Proportional to 19,562.02, 29,327.22 and 7,864

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Solution

The fourth proportional to 19,562.02, 29,327.22 and 7,864 is: 11,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.02 : 29,327.22 = 7,864 : x
  2. Step 2: Convert to fraction form
    19,562.02/29,327.22 = 7,864/x
  3. Step 3: Cross multiply
    19,562.02x = 29,327.22 × 7,864
  4. Step 4: Simplify right side
    19,562.02x = 230,629,258.08
  5. Step 5: Solve for x
    x = 230,629,258.08/19,562.02
  6. Step 6: Final answer
    x = 11,789.64

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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.