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Finding the Fourth Proportional to 27,796.72, 38,355.96 and 22,145.80

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Solution

The fourth proportional to 27,796.72, 38,355.96 and 22,145.80 is: 30,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.72 : 38,355.96 = 22,145.80 : x
  2. Step 2: Convert to fraction form
    27,796.72/38,355.96 = 22,145.80/x
  3. Step 3: Cross multiply
    27,796.72x = 38,355.96 × 22,145.80
  4. Step 4: Simplify right side
    27,796.72x = 849,423,418.97
  5. Step 5: Solve for x
    x = 849,423,418.97/27,796.72
  6. Step 6: Final answer
    x = 30,558.40

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Why These Related Problems?

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