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Finding the Fourth Proportional to 19,651.14, 29,471.22 and 7,799.58

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Solution

The fourth proportional to 19,651.14, 29,471.22 and 7,799.58 is: 11,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.14 : 29,471.22 = 7,799.58 : x
  2. Step 2: Convert to fraction form
    19,651.14/29,471.22 = 7,799.58/x
  3. Step 3: Cross multiply
    19,651.14x = 29,471.22 × 7,799.58
  4. Step 4: Simplify right side
    19,651.14x = 229,863,138.09
  5. Step 5: Solve for x
    x = 229,863,138.09/19,651.14
  6. Step 6: Final answer
    x = 11,697.19

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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.