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Finding the Fourth Proportional to 13,194.82, 18,208.69 and 7,226.40

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Solution

The fourth proportional to 13,194.82, 18,208.69 and 7,226.40 is: 9,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.82 : 18,208.69 = 7,226.40 : x
  2. Step 2: Convert to fraction form
    13,194.82/18,208.69 = 7,226.40/x
  3. Step 3: Cross multiply
    13,194.82x = 18,208.69 × 7,226.40
  4. Step 4: Simplify right side
    13,194.82x = 131,583,277.42
  5. Step 5: Solve for x
    x = 131,583,277.42/13,194.82
  6. Step 6: Final answer
    x = 9,972.34

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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.