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Finding the Fourth Proportional to 12,805.06, 17,672.51 and 7,140.73

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Solution

The fourth proportional to 12,805.06, 17,672.51 and 7,140.73 is: 9,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.06 : 17,672.51 = 7,140.73 : x
  2. Step 2: Convert to fraction form
    12,805.06/17,672.51 = 7,140.73/x
  3. Step 3: Cross multiply
    12,805.06x = 17,672.51 × 7,140.73
  4. Step 4: Simplify right side
    12,805.06x = 126,194,622.33
  5. Step 5: Solve for x
    x = 126,194,622.33/12,805.06
  6. Step 6: Final answer
    x = 9,855.06

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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.