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Finding the Fourth Proportional to 27,728.25, 38,266.36 and 16,404.37

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Solution

The fourth proportional to 27,728.25, 38,266.36 and 16,404.37 is: 22,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.25 : 38,266.36 = 16,404.37 : x
  2. Step 2: Convert to fraction form
    27,728.25/38,266.36 = 16,404.37/x
  3. Step 3: Cross multiply
    27,728.25x = 38,266.36 × 16,404.37
  4. Step 4: Simplify right side
    27,728.25x = 627,735,254.64
  5. Step 5: Solve for x
    x = 627,735,254.64/27,728.25
  6. Step 6: Final answer
    x = 22,638.84

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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.