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Finding the Fourth Proportional to 24,589.82, 33,934.92 and 13,980.44

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Solution

The fourth proportional to 24,589.82, 33,934.92 and 13,980.44 is: 19,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.82 : 33,934.92 = 13,980.44 : x
  2. Step 2: Convert to fraction form
    24,589.82/33,934.92 = 13,980.44/x
  3. Step 3: Cross multiply
    24,589.82x = 33,934.92 × 13,980.44
  4. Step 4: Simplify right side
    24,589.82x = 474,425,112.96
  5. Step 5: Solve for x
    x = 474,425,112.96/24,589.82
  6. Step 6: Final answer
    x = 19,293.56

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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.