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Finding the Fourth Proportional to 13,067.36, 18,032.64 and 7,478

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Solution

The fourth proportional to 13,067.36, 18,032.64 and 7,478 is: 10,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.36 : 18,032.64 = 7,478 : x
  2. Step 2: Convert to fraction form
    13,067.36/18,032.64 = 7,478/x
  3. Step 3: Cross multiply
    13,067.36x = 18,032.64 × 7,478
  4. Step 4: Simplify right side
    13,067.36x = 134,848,081.92
  5. Step 5: Solve for x
    x = 134,848,081.92/13,067.36
  6. Step 6: Final answer
    x = 10,319.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.