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Finding the Fourth Proportional to 13,020.80, 17,968.77 and 7,718.22

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Solution

The fourth proportional to 13,020.80, 17,968.77 and 7,718.22 is: 10,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.80 : 17,968.77 = 7,718.22 : x
  2. Step 2: Convert to fraction form
    13,020.80/17,968.77 = 7,718.22/x
  3. Step 3: Cross multiply
    13,020.80x = 17,968.77 × 7,718.22
  4. Step 4: Simplify right side
    13,020.80x = 138,686,919.99
  5. Step 5: Solve for x
    x = 138,686,919.99/13,020.80
  6. Step 6: Final answer
    x = 10,651.19

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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.