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Finding the Fourth Proportional to 24,894.63, 37,339.90 and 8,249.22

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Solution

The fourth proportional to 24,894.63, 37,339.90 and 8,249.22 is: 12,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,894.63 : 37,339.90 = 8,249.22 : x
  2. Step 2: Convert to fraction form
    24,894.63/37,339.90 = 8,249.22/x
  3. Step 3: Cross multiply
    24,894.63x = 37,339.90 × 8,249.22
  4. Step 4: Simplify right side
    24,894.63x = 308,025,029.25
  5. Step 5: Solve for x
    x = 308,025,029.25/24,894.63
  6. Step 6: Final answer
    x = 12,373.15

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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.