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Finding the Fourth Proportional to 27,301.05, 40,964.54 and 9,772.65

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Solution

The fourth proportional to 27,301.05, 40,964.54 and 9,772.65 is: 14,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301.05 : 40,964.54 = 9,772.65 : x
  2. Step 2: Convert to fraction form
    27,301.05/40,964.54 = 9,772.65/x
  3. Step 3: Cross multiply
    27,301.05x = 40,964.54 × 9,772.65
  4. Step 4: Simplify right side
    27,301.05x = 400,332,062.97
  5. Step 5: Solve for x
    x = 400,332,062.97/27,301.05
  6. Step 6: Final answer
    x = 14,663.61

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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.