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Finding the Fourth Proportional to 24,593.82, 33,939.06 and 13,983.22

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Solution

The fourth proportional to 24,593.82, 33,939.06 and 13,983.22 is: 19,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.82 : 33,939.06 = 13,983.22 : x
  2. Step 2: Convert to fraction form
    24,593.82/33,939.06 = 13,983.22/x
  3. Step 3: Cross multiply
    24,593.82x = 33,939.06 × 13,983.22
  4. Step 4: Simplify right side
    24,593.82x = 474,577,342.57
  5. Step 5: Solve for x
    x = 474,577,342.57/24,593.82
  6. Step 6: Final answer
    x = 19,296.61

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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.