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Finding the Fourth Proportional to 13,017.68, 17,964.40 and 7,049.34

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Solution

The fourth proportional to 13,017.68, 17,964.40 and 7,049.34 is: 9,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.68 : 17,964.40 = 7,049.34 : x
  2. Step 2: Convert to fraction form
    13,017.68/17,964.40 = 7,049.34/x
  3. Step 3: Cross multiply
    13,017.68x = 17,964.40 × 7,049.34
  4. Step 4: Simplify right side
    13,017.68x = 126,637,163.50
  5. Step 5: Solve for x
    x = 126,637,163.50/13,017.68
  6. Step 6: Final answer
    x = 9,728.09

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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.