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Finding the Fourth Proportional to 13,020.87, 17,968.80 and 7,052.56

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Solution

The fourth proportional to 13,020.87, 17,968.80 and 7,052.56 is: 9,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.87 : 17,968.80 = 7,052.56 : x
  2. Step 2: Convert to fraction form
    13,020.87/17,968.80 = 7,052.56/x
  3. Step 3: Cross multiply
    13,020.87x = 17,968.80 × 7,052.56
  4. Step 4: Simplify right side
    13,020.87x = 126,726,040.13
  5. Step 5: Solve for x
    x = 126,726,040.13/13,020.87
  6. Step 6: Final answer
    x = 9,732.53

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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.