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Finding the Fourth Proportional to 12,536.31, 17,307.97 and 8,067.82

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Solution

The fourth proportional to 12,536.31, 17,307.97 and 8,067.82 is: 11,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.31 : 17,307.97 = 8,067.82 : x
  2. Step 2: Convert to fraction form
    12,536.31/17,307.97 = 8,067.82/x
  3. Step 3: Cross multiply
    12,536.31x = 17,307.97 × 8,067.82
  4. Step 4: Simplify right side
    12,536.31x = 139,637,586.53
  5. Step 5: Solve for x
    x = 139,637,586.53/12,536.31
  6. Step 6: Final answer
    x = 11,138.65

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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.