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Finding the Fourth Proportional to 24,672.69, 36,976.64 and 21,494.25

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Solution

The fourth proportional to 24,672.69, 36,976.64 and 21,494.25 is: 32,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.69 : 36,976.64 = 21,494.25 : x
  2. Step 2: Convert to fraction form
    24,672.69/36,976.64 = 21,494.25/x
  3. Step 3: Cross multiply
    24,672.69x = 36,976.64 × 21,494.25
  4. Step 4: Simplify right side
    24,672.69x = 794,785,036.85
  5. Step 5: Solve for x
    x = 794,785,036.85/24,672.69
  6. Step 6: Final answer
    x = 32,213.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.