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Finding the Fourth Proportional to 16,642.38, 24,941.68 and 8,213.52

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Solution

The fourth proportional to 16,642.38, 24,941.68 and 8,213.52 is: 12,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.38 : 24,941.68 = 8,213.52 : x
  2. Step 2: Convert to fraction form
    16,642.38/24,941.68 = 8,213.52/x
  3. Step 3: Cross multiply
    16,642.38x = 24,941.68 × 8,213.52
  4. Step 4: Simplify right side
    16,642.38x = 204,858,987.51
  5. Step 5: Solve for x
    x = 204,858,987.51/16,642.38
  6. Step 6: Final answer
    x = 12,309.48

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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.