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Finding the Fourth Proportional to 20,117.31, 27,765.21 and 11,167.68

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Solution

The fourth proportional to 20,117.31, 27,765.21 and 11,167.68 is: 15,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.31 : 27,765.21 = 11,167.68 : x
  2. Step 2: Convert to fraction form
    20,117.31/27,765.21 = 11,167.68/x
  3. Step 3: Cross multiply
    20,117.31x = 27,765.21 × 11,167.68
  4. Step 4: Simplify right side
    20,117.31x = 310,072,980.41
  5. Step 5: Solve for x
    x = 310,072,980.41/20,117.31
  6. Step 6: Final answer
    x = 15,413.24

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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.