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Finding the Fourth Proportional to 20,117.56, 27,761.70 and 11,164.60

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Solution

The fourth proportional to 20,117.56, 27,761.70 and 11,164.60 is: 15,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.56 : 27,761.70 = 11,164.60 : x
  2. Step 2: Convert to fraction form
    20,117.56/27,761.70 = 11,164.60/x
  3. Step 3: Cross multiply
    20,117.56x = 27,761.70 × 11,164.60
  4. Step 4: Simplify right side
    20,117.56x = 309,948,275.82
  5. Step 5: Solve for x
    x = 309,948,275.82/20,117.56
  6. Step 6: Final answer
    x = 15,406.85

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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.