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Finding the Fourth Proportional to 24,015.23, 36,022.85 and 12,320.99

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Solution

The fourth proportional to 24,015.23, 36,022.85 and 12,320.99 is: 18,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.23 : 36,022.85 = 12,320.99 : x
  2. Step 2: Convert to fraction form
    24,015.23/36,022.85 = 12,320.99/x
  3. Step 3: Cross multiply
    24,015.23x = 36,022.85 × 12,320.99
  4. Step 4: Simplify right side
    24,015.23x = 443,837,174.62
  5. Step 5: Solve for x
    x = 443,837,174.62/24,015.23
  6. Step 6: Final answer
    x = 18,481.49

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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.