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Finding the Fourth Proportional to 13,177.82, 18,185.78 and 7,209.84

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Solution

The fourth proportional to 13,177.82, 18,185.78 and 7,209.84 is: 9,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.82 : 18,185.78 = 7,209.84 : x
  2. Step 2: Convert to fraction form
    13,177.82/18,185.78 = 7,209.84/x
  3. Step 3: Cross multiply
    13,177.82x = 18,185.78 × 7,209.84
  4. Step 4: Simplify right side
    13,177.82x = 131,116,650.30
  5. Step 5: Solve for x
    x = 131,116,650.30/13,177.82
  6. Step 6: Final answer
    x = 9,949.80

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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.