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Finding the Fourth Proportional to 23,305.76, 32,161.78 and 12,695.39

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Solution

The fourth proportional to 23,305.76, 32,161.78 and 12,695.39 is: 17,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.76 : 32,161.78 = 12,695.39 : x
  2. Step 2: Convert to fraction form
    23,305.76/32,161.78 = 12,695.39/x
  3. Step 3: Cross multiply
    23,305.76x = 32,161.78 × 12,695.39
  4. Step 4: Simplify right side
    23,305.76x = 408,306,404.20
  5. Step 5: Solve for x
    x = 408,306,404.20/23,305.76
  6. Step 6: Final answer
    x = 17,519.55

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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.