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Finding the Fourth Proportional to 13,017.68, 17,964.39 and 7,049.33

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Solution

The fourth proportional to 13,017.68, 17,964.39 and 7,049.33 is: 9,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.68 : 17,964.39 = 7,049.33 : x
  2. Step 2: Convert to fraction form
    13,017.68/17,964.39 = 7,049.33/x
  3. Step 3: Cross multiply
    13,017.68x = 17,964.39 × 7,049.33
  4. Step 4: Simplify right side
    13,017.68x = 126,636,913.36
  5. Step 5: Solve for x
    x = 126,636,913.36/13,017.68
  6. Step 6: Final answer
    x = 9,728.07

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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.