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Finding the Fourth Proportional to 22,594.86, 33,910.47 and 12,743.64

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Solution

The fourth proportional to 22,594.86, 33,910.47 and 12,743.64 is: 19,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.86 : 33,910.47 = 12,743.64 : x
  2. Step 2: Convert to fraction form
    22,594.86/33,910.47 = 12,743.64/x
  3. Step 3: Cross multiply
    22,594.86x = 33,910.47 × 12,743.64
  4. Step 4: Simplify right side
    22,594.86x = 432,142,821.91
  5. Step 5: Solve for x
    x = 432,142,821.91/22,594.86
  6. Step 6: Final answer
    x = 19,125.71

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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.