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Finding the Fourth Proportional to 13,174.88, 18,181.08 and 7,206.53

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Solution

The fourth proportional to 13,174.88, 18,181.08 and 7,206.53 is: 9,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.88 : 18,181.08 = 7,206.53 : x
  2. Step 2: Convert to fraction form
    13,174.88/18,181.08 = 7,206.53/x
  3. Step 3: Cross multiply
    13,174.88x = 18,181.08 × 7,206.53
  4. Step 4: Simplify right side
    13,174.88x = 131,022,498.45
  5. Step 5: Solve for x
    x = 131,022,498.45/13,174.88
  6. Step 6: Final answer
    x = 9,944.87

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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.