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Finding the Fourth Proportional to 12,732.23, 17,570.31 and 7,067

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Solution

The fourth proportional to 12,732.23, 17,570.31 and 7,067 is: 9,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.23 : 17,570.31 = 7,067 : x
  2. Step 2: Convert to fraction form
    12,732.23/17,570.31 = 7,067/x
  3. Step 3: Cross multiply
    12,732.23x = 17,570.31 × 7,067
  4. Step 4: Simplify right side
    12,732.23x = 124,169,380.77
  5. Step 5: Solve for x
    x = 124,169,380.77/12,732.23
  6. Step 6: Final answer
    x = 9,752.37

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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.