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Finding the Fourth Proportional to 13,021.14, 17,969.18 and 7,052.82

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Solution

The fourth proportional to 13,021.14, 17,969.18 and 7,052.82 is: 9,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.14 : 17,969.18 = 7,052.82 : x
  2. Step 2: Convert to fraction form
    13,021.14/17,969.18 = 7,052.82/x
  3. Step 3: Cross multiply
    13,021.14x = 17,969.18 × 7,052.82
  4. Step 4: Simplify right side
    13,021.14x = 126,733,392.09
  5. Step 5: Solve for x
    x = 126,733,392.09/13,021.14
  6. Step 6: Final answer
    x = 9,732.90

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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.