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Finding the Fourth Proportional to 12,098.01, 18,149.16 and 5,524.86

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Solution

The fourth proportional to 12,098.01, 18,149.16 and 5,524.86 is: 8,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.01 : 18,149.16 = 5,524.86 : x
  2. Step 2: Convert to fraction form
    12,098.01/18,149.16 = 5,524.86/x
  3. Step 3: Cross multiply
    12,098.01x = 18,149.16 × 5,524.86
  4. Step 4: Simplify right side
    12,098.01x = 100,271,568.12
  5. Step 5: Solve for x
    x = 100,271,568.12/12,098.01
  6. Step 6: Final answer
    x = 8,288.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.