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Finding the Fourth Proportional to 12,733.51, 17,571.72 and 7,067.83

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Solution

The fourth proportional to 12,733.51, 17,571.72 and 7,067.83 is: 9,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.51 : 17,571.72 = 7,067.83 : x
  2. Step 2: Convert to fraction form
    12,733.51/17,571.72 = 7,067.83/x
  3. Step 3: Cross multiply
    12,733.51x = 17,571.72 × 7,067.83
  4. Step 4: Simplify right side
    12,733.51x = 124,193,929.77
  5. Step 5: Solve for x
    x = 124,193,929.77/12,733.51
  6. Step 6: Final answer
    x = 9,753.31

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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.