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Finding the Fourth Proportional to 13,149.14, 18,146.21 and 7,181.10

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Solution

The fourth proportional to 13,149.14, 18,146.21 and 7,181.10 is: 9,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.14 : 18,146.21 = 7,181.10 : x
  2. Step 2: Convert to fraction form
    13,149.14/18,146.21 = 7,181.10/x
  3. Step 3: Cross multiply
    13,149.14x = 18,146.21 × 7,181.10
  4. Step 4: Simplify right side
    13,149.14x = 130,309,712.73
  5. Step 5: Solve for x
    x = 130,309,712.73/13,149.14
  6. Step 6: Final answer
    x = 9,910.14

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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.