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Finding the Fourth Proportional to 12,709.28, 19,067.82 and 5,695.22

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Solution

The fourth proportional to 12,709.28, 19,067.82 and 5,695.22 is: 8,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.28 : 19,067.82 = 5,695.22 : x
  2. Step 2: Convert to fraction form
    12,709.28/19,067.82 = 5,695.22/x
  3. Step 3: Cross multiply
    12,709.28x = 19,067.82 × 5,695.22
  4. Step 4: Simplify right side
    12,709.28x = 108,595,429.82
  5. Step 5: Solve for x
    x = 108,595,429.82/12,709.28
  6. Step 6: Final answer
    x = 8,544.58

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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.