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Finding the Fourth Proportional to 13,020.35, 17,968.15 and 7,052.03

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Solution

The fourth proportional to 13,020.35, 17,968.15 and 7,052.03 is: 9,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.35 : 17,968.15 = 7,052.03 : x
  2. Step 2: Convert to fraction form
    13,020.35/17,968.15 = 7,052.03/x
  3. Step 3: Cross multiply
    13,020.35x = 17,968.15 × 7,052.03
  4. Step 4: Simplify right side
    13,020.35x = 126,711,879.53
  5. Step 5: Solve for x
    x = 126,711,879.53/13,020.35
  6. Step 6: Final answer
    x = 9,731.84

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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.