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Finding the Fourth Proportional to 24,843.36, 37,247.16 and 8,194.08

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Solution

The fourth proportional to 24,843.36, 37,247.16 and 8,194.08 is: 12,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.36 : 37,247.16 = 8,194.08 : x
  2. Step 2: Convert to fraction form
    24,843.36/37,247.16 = 8,194.08/x
  3. Step 3: Cross multiply
    24,843.36x = 37,247.16 × 8,194.08
  4. Step 4: Simplify right side
    24,843.36x = 305,206,208.81
  5. Step 5: Solve for x
    x = 305,206,208.81/24,843.36
  6. Step 6: Final answer
    x = 12,285.22

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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.