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Finding the Fourth Proportional to 27,791.66, 38,349.12 and 22,140.80

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Solution

The fourth proportional to 27,791.66, 38,349.12 and 22,140.80 is: 30,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.66 : 38,349.12 = 22,140.80 : x
  2. Step 2: Convert to fraction form
    27,791.66/38,349.12 = 22,140.80/x
  3. Step 3: Cross multiply
    27,791.66x = 38,349.12 × 22,140.80
  4. Step 4: Simplify right side
    27,791.66x = 849,080,196.10
  5. Step 5: Solve for x
    x = 849,080,196.10/27,791.66
  6. Step 6: Final answer
    x = 30,551.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.