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Finding the Fourth Proportional to 24,121, 36,191.85 and 12,442.42

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Solution

The fourth proportional to 24,121, 36,191.85 and 12,442.42 is: 18,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121 : 36,191.85 = 12,442.42 : x
  2. Step 2: Convert to fraction form
    24,121/36,191.85 = 12,442.42/x
  3. Step 3: Cross multiply
    24,121x = 36,191.85 × 12,442.42
  4. Step 4: Simplify right side
    24,121x = 450,314,198.28
  5. Step 5: Solve for x
    x = 450,314,198.28/24,121
  6. Step 6: Final answer
    x = 18,668.97

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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.