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Finding the Fourth Proportional to 24,471.82, 33,771.12 and 13,293.82

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Solution

The fourth proportional to 24,471.82, 33,771.12 and 13,293.82 is: 18,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.82 : 33,771.12 = 13,293.82 : x
  2. Step 2: Convert to fraction form
    24,471.82/33,771.12 = 13,293.82/x
  3. Step 3: Cross multiply
    24,471.82x = 33,771.12 × 13,293.82
  4. Step 4: Simplify right side
    24,471.82x = 448,947,190.48
  5. Step 5: Solve for x
    x = 448,947,190.48/24,471.82
  6. Step 6: Final answer
    x = 18,345.48

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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.