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Finding the Fourth Proportional to 24,382.86, 33,648.42 and 13,204.86

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Solution

The fourth proportional to 24,382.86, 33,648.42 and 13,204.86 is: 18,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.86 : 33,648.42 = 13,204.86 : x
  2. Step 2: Convert to fraction form
    24,382.86/33,648.42 = 13,204.86/x
  3. Step 3: Cross multiply
    24,382.86x = 33,648.42 × 13,204.86
  4. Step 4: Simplify right side
    24,382.86x = 444,322,675.32
  5. Step 5: Solve for x
    x = 444,322,675.32/24,382.86
  6. Step 6: Final answer
    x = 18,222.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.