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Finding the Fourth Proportional to 27,685.79, 41,529.27 and 9,917.60

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Solution

The fourth proportional to 27,685.79, 41,529.27 and 9,917.60 is: 14,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.79 : 41,529.27 = 9,917.60 : x
  2. Step 2: Convert to fraction form
    27,685.79/41,529.27 = 9,917.60/x
  3. Step 3: Cross multiply
    27,685.79x = 41,529.27 × 9,917.60
  4. Step 4: Simplify right side
    27,685.79x = 411,870,767.86
  5. Step 5: Solve for x
    x = 411,870,767.86/27,685.79
  6. Step 6: Final answer
    x = 14,876.61

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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.