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Finding the Fourth Proportional to 13,181.58, 18,182.18 and 9,201.24

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Solution

The fourth proportional to 13,181.58, 18,182.18 and 9,201.24 is: 12,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.58 : 18,182.18 = 9,201.24 : x
  2. Step 2: Convert to fraction form
    13,181.58/18,182.18 = 9,201.24/x
  3. Step 3: Cross multiply
    13,181.58x = 18,182.18 × 9,201.24
  4. Step 4: Simplify right side
    13,181.58x = 167,298,624.91
  5. Step 5: Solve for x
    x = 167,298,624.91/13,181.58
  6. Step 6: Final answer
    x = 12,691.85

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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.