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Finding the Fourth Proportional to 13,020.45, 17,968.17 and 7,052.13

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Solution

The fourth proportional to 13,020.45, 17,968.17 and 7,052.13 is: 9,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.45 : 17,968.17 = 7,052.13 : x
  2. Step 2: Convert to fraction form
    13,020.45/17,968.17 = 7,052.13/x
  3. Step 3: Cross multiply
    13,020.45x = 17,968.17 × 7,052.13
  4. Step 4: Simplify right side
    13,020.45x = 126,713,870.70
  5. Step 5: Solve for x
    x = 126,713,870.70/13,020.45
  6. Step 6: Final answer
    x = 9,731.91

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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.