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Finding the Fourth Proportional to 24,213.87, 36,311.22 and 9,420.64

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Solution

The fourth proportional to 24,213.87, 36,311.22 and 9,420.64 is: 14,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.87 : 36,311.22 = 9,420.64 : x
  2. Step 2: Convert to fraction form
    24,213.87/36,311.22 = 9,420.64/x
  3. Step 3: Cross multiply
    24,213.87x = 36,311.22 × 9,420.64
  4. Step 4: Simplify right side
    24,213.87x = 342,074,840.80
  5. Step 5: Solve for x
    x = 342,074,840.80/24,213.87
  6. Step 6: Final answer
    x = 14,127.23

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1.5x scale

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.