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Finding the Fourth Proportional to 18,245.64, 27,369.54 and 5,098.02

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Solution

The fourth proportional to 18,245.64, 27,369.54 and 5,098.02 is: 7,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,245.64 : 27,369.54 = 5,098.02 : x
  2. Step 2: Convert to fraction form
    18,245.64/27,369.54 = 5,098.02/x
  3. Step 3: Cross multiply
    18,245.64x = 27,369.54 × 5,098.02
  4. Step 4: Simplify right side
    18,245.64x = 139,530,462.31
  5. Step 5: Solve for x
    x = 139,530,462.31/18,245.64
  6. Step 6: Final answer
    x = 7,647.33

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Why These Related Problems?

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