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Finding the Fourth Proportional to 24,198, 36,310.80 and 9,404.99

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Solution

The fourth proportional to 24,198, 36,310.80 and 9,404.99 is: 14,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 36,310.80 = 9,404.99 : x
  2. Step 2: Convert to fraction form
    24,198/36,310.80 = 9,404.99/x
  3. Step 3: Cross multiply
    24,198x = 36,310.80 × 9,404.99
  4. Step 4: Simplify right side
    24,198x = 341,502,710.89
  5. Step 5: Solve for x
    x = 341,502,710.89/24,198
  6. Step 6: Final answer
    x = 14,112.85

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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.