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Finding the Fourth Proportional to 13,020.66, 17,968.41 and 7,052.31

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Solution

The fourth proportional to 13,020.66, 17,968.41 and 7,052.31 is: 9,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.66 : 17,968.41 = 7,052.31 : x
  2. Step 2: Convert to fraction form
    13,020.66/17,968.41 = 7,052.31/x
  3. Step 3: Cross multiply
    13,020.66x = 17,968.41 × 7,052.31
  4. Step 4: Simplify right side
    13,020.66x = 126,718,797.53
  5. Step 5: Solve for x
    x = 126,718,797.53/13,020.66
  6. Step 6: Final answer
    x = 9,732.13

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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.