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Finding the Fourth Proportional to 27,698.10, 38,241.66 and 17,103.30

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Solution

The fourth proportional to 27,698.10, 38,241.66 and 17,103.30 is: 23,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.10 : 38,241.66 = 17,103.30 : x
  2. Step 2: Convert to fraction form
    27,698.10/38,241.66 = 17,103.30/x
  3. Step 3: Cross multiply
    27,698.10x = 38,241.66 × 17,103.30
  4. Step 4: Simplify right side
    27,698.10x = 654,058,583.48
  5. Step 5: Solve for x
    x = 654,058,583.48/27,698.10
  6. Step 6: Final answer
    x = 23,613.84

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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.