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Finding the Fourth Proportional to 24,198.51, 36,301.61 and 8,408.37

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Solution

The fourth proportional to 24,198.51, 36,301.61 and 8,408.37 is: 12,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.51 : 36,301.61 = 8,408.37 : x
  2. Step 2: Convert to fraction form
    24,198.51/36,301.61 = 8,408.37/x
  3. Step 3: Cross multiply
    24,198.51x = 36,301.61 × 8,408.37
  4. Step 4: Simplify right side
    24,198.51x = 305,237,389.50
  5. Step 5: Solve for x
    x = 305,237,389.50/24,198.51
  6. Step 6: Final answer
    x = 12,613.89

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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.