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Finding the Fourth Proportional to 24,213.09, 36,322.00 and 9,423.21

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Solution

The fourth proportional to 24,213.09, 36,322.00 and 9,423.21 is: 14,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.09 : 36,322.00 = 9,423.21 : x
  2. Step 2: Convert to fraction form
    24,213.09/36,322.00 = 9,423.21/x
  3. Step 3: Cross multiply
    24,213.09x = 36,322.00 × 9,423.21
  4. Step 4: Simplify right side
    24,213.09x = 342,269,786.50
  5. Step 5: Solve for x
    x = 342,269,786.50/24,213.09
  6. Step 6: Final answer
    x = 14,135.73

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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.