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Finding the Fourth Proportional to 12,839.23, 17,720.17 and 7,805.03

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Solution

The fourth proportional to 12,839.23, 17,720.17 and 7,805.03 is: 10,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.23 : 17,720.17 = 7,805.03 : x
  2. Step 2: Convert to fraction form
    12,839.23/17,720.17 = 7,805.03/x
  3. Step 3: Cross multiply
    12,839.23x = 17,720.17 × 7,805.03
  4. Step 4: Simplify right side
    12,839.23x = 138,306,387.72
  5. Step 5: Solve for x
    x = 138,306,387.72/12,839.23
  6. Step 6: Final answer
    x = 10,772.17

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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.