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Finding the Fourth Proportional to 12,767.82, 17,618.22 and 7,101.66

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Solution

The fourth proportional to 12,767.82, 17,618.22 and 7,101.66 is: 9,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.82 : 17,618.22 = 7,101.66 : x
  2. Step 2: Convert to fraction form
    12,767.82/17,618.22 = 7,101.66/x
  3. Step 3: Cross multiply
    12,767.82x = 17,618.22 × 7,101.66
  4. Step 4: Simplify right side
    12,767.82x = 125,118,608.25
  5. Step 5: Solve for x
    x = 125,118,608.25/12,767.82
  6. Step 6: Final answer
    x = 9,799.53

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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.