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Finding the Fourth Proportional to 12,656.33, 17,465.74 and 7,067.33

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Solution

The fourth proportional to 12,656.33, 17,465.74 and 7,067.33 is: 9,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.33 : 17,465.74 = 7,067.33 : x
  2. Step 2: Convert to fraction form
    12,656.33/17,465.74 = 7,067.33/x
  3. Step 3: Cross multiply
    12,656.33x = 17,465.74 × 7,067.33
  4. Step 4: Simplify right side
    12,656.33x = 123,436,148.27
  5. Step 5: Solve for x
    x = 123,436,148.27/12,656.33
  6. Step 6: Final answer
    x = 9,752.92

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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.