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Finding the Fourth Proportional to 27,201.27, 40,802.13 and 7,480.91

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Solution

The fourth proportional to 27,201.27, 40,802.13 and 7,480.91 is: 11,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.27 : 40,802.13 = 7,480.91 : x
  2. Step 2: Convert to fraction form
    27,201.27/40,802.13 = 7,480.91/x
  3. Step 3: Cross multiply
    27,201.27x = 40,802.13 × 7,480.91
  4. Step 4: Simplify right side
    27,201.27x = 305,236,934.83
  5. Step 5: Solve for x
    x = 305,236,934.83/27,201.27
  6. Step 6: Final answer
    x = 11,221.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.