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Finding the Fourth Proportional to 13,017.66, 17,964.27 and 7,049.31

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Solution

The fourth proportional to 13,017.66, 17,964.27 and 7,049.31 is: 9,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.66 : 17,964.27 = 7,049.31 : x
  2. Step 2: Convert to fraction form
    13,017.66/17,964.27 = 7,049.31/x
  3. Step 3: Cross multiply
    13,017.66x = 17,964.27 × 7,049.31
  4. Step 4: Simplify right side
    13,017.66x = 126,635,708.15
  5. Step 5: Solve for x
    x = 126,635,708.15/13,017.66
  6. Step 6: Final answer
    x = 9,727.99

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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.