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Finding the Fourth Proportional to 12,691.44, 17,511.75 and 8,214.57

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Solution

The fourth proportional to 12,691.44, 17,511.75 and 8,214.57 is: 11,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.44 : 17,511.75 = 8,214.57 : x
  2. Step 2: Convert to fraction form
    12,691.44/17,511.75 = 8,214.57/x
  3. Step 3: Cross multiply
    12,691.44x = 17,511.75 × 8,214.57
  4. Step 4: Simplify right side
    12,691.44x = 143,851,483.22
  5. Step 5: Solve for x
    x = 143,851,483.22/12,691.44
  6. Step 6: Final answer
    x = 11,334.53

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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.