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Finding the Fourth Proportional to 27,796.60, 38,319.78 and 17,180.20

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Solution

The fourth proportional to 27,796.60, 38,319.78 and 17,180.20 is: 23,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.60 : 38,319.78 = 17,180.20 : x
  2. Step 2: Convert to fraction form
    27,796.60/38,319.78 = 17,180.20/x
  3. Step 3: Cross multiply
    27,796.60x = 38,319.78 × 17,180.20
  4. Step 4: Simplify right side
    27,796.60x = 658,341,484.36
  5. Step 5: Solve for x
    x = 658,341,484.36/27,796.60
  6. Step 6: Final answer
    x = 23,684.24

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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.