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Finding the Fourth Proportional to 24,633.27, 33,983.82 and 17,904.15

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Solution

The fourth proportional to 24,633.27, 33,983.82 and 17,904.15 is: 24,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.27 : 33,983.82 = 17,904.15 : x
  2. Step 2: Convert to fraction form
    24,633.27/33,983.82 = 17,904.15/x
  3. Step 3: Cross multiply
    24,633.27x = 33,983.82 × 17,904.15
  4. Step 4: Simplify right side
    24,633.27x = 608,451,410.85
  5. Step 5: Solve for x
    x = 608,451,410.85/24,633.27
  6. Step 6: Final answer
    x = 24,700.39

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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.