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Finding the Fourth Proportional to 13,020.47, 17,968.15 and 7,052

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Solution

The fourth proportional to 13,020.47, 17,968.15 and 7,052 is: 9,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.47 : 17,968.15 = 7,052 : x
  2. Step 2: Convert to fraction form
    13,020.47/17,968.15 = 7,052/x
  3. Step 3: Cross multiply
    13,020.47x = 17,968.15 × 7,052
  4. Step 4: Simplify right side
    13,020.47x = 126,711,393.80
  5. Step 5: Solve for x
    x = 126,711,393.80/13,020.47
  6. Step 6: Final answer
    x = 9,731.71

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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.