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Finding the Fourth Proportional to 12,766.70, 17,617.79 and 7,101.33

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Solution

The fourth proportional to 12,766.70, 17,617.79 and 7,101.33 is: 9,799.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.70 : 17,617.79 = 7,101.33 : x
  2. Step 2: Convert to fraction form
    12,766.70/17,617.79 = 7,101.33/x
  3. Step 3: Cross multiply
    12,766.70x = 17,617.79 × 7,101.33
  4. Step 4: Simplify right side
    12,766.70x = 125,109,701.95
  5. Step 5: Solve for x
    x = 125,109,701.95/12,766.70
  6. Step 6: Final answer
    x = 9,799.69

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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.