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Finding the Fourth Proportional to 20,188.28, 27,844.02 and 13,117

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Solution

The fourth proportional to 20,188.28, 27,844.02 and 13,117 is: 18,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.28 : 27,844.02 = 13,117 : x
  2. Step 2: Convert to fraction form
    20,188.28/27,844.02 = 13,117/x
  3. Step 3: Cross multiply
    20,188.28x = 27,844.02 × 13,117
  4. Step 4: Simplify right side
    20,188.28x = 365,230,010.34
  5. Step 5: Solve for x
    x = 365,230,010.34/20,188.28
  6. Step 6: Final answer
    x = 18,091.19

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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.