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Finding the Fourth Proportional to 27,575.98, 38,056.82 and 15,640.36

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Solution

The fourth proportional to 27,575.98, 38,056.82 and 15,640.36 is: 21,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.98 : 38,056.82 = 15,640.36 : x
  2. Step 2: Convert to fraction form
    27,575.98/38,056.82 = 15,640.36/x
  3. Step 3: Cross multiply
    27,575.98x = 38,056.82 × 15,640.36
  4. Step 4: Simplify right side
    27,575.98x = 595,222,365.26
  5. Step 5: Solve for x
    x = 595,222,365.26/27,575.98
  6. Step 6: Final answer
    x = 21,584.81

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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.