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Finding the Fourth Proportional to 27,164.57, 40,746.24 and 12,377.41

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Solution

The fourth proportional to 27,164.57, 40,746.24 and 12,377.41 is: 18,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.57 : 40,746.24 = 12,377.41 : x
  2. Step 2: Convert to fraction form
    27,164.57/40,746.24 = 12,377.41/x
  3. Step 3: Cross multiply
    27,164.57x = 40,746.24 × 12,377.41
  4. Step 4: Simplify right side
    27,164.57x = 504,332,816.57
  5. Step 5: Solve for x
    x = 504,332,816.57/27,164.57
  6. Step 6: Final answer
    x = 18,565.83

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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.