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Finding the Fourth Proportional to 24,269.85, 36,404.73 and 7,631.33

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Solution

The fourth proportional to 24,269.85, 36,404.73 and 7,631.33 is: 11,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.85 : 36,404.73 = 7,631.33 : x
  2. Step 2: Convert to fraction form
    24,269.85/36,404.73 = 7,631.33/x
  3. Step 3: Cross multiply
    24,269.85x = 36,404.73 × 7,631.33
  4. Step 4: Simplify right side
    24,269.85x = 277,816,508.19
  5. Step 5: Solve for x
    x = 277,816,508.19/24,269.85
  6. Step 6: Final answer
    x = 11,446.98

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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.