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Finding the Fourth Proportional to 20,165.18, 27,825.95 and 11,211.78

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Solution

The fourth proportional to 20,165.18, 27,825.95 and 11,211.78 is: 15,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.18 : 27,825.95 = 11,211.78 : x
  2. Step 2: Convert to fraction form
    20,165.18/27,825.95 = 11,211.78/x
  3. Step 3: Cross multiply
    20,165.18x = 27,825.95 × 11,211.78
  4. Step 4: Simplify right side
    20,165.18x = 311,978,457.72
  5. Step 5: Solve for x
    x = 311,978,457.72/20,165.18
  6. Step 6: Final answer
    x = 15,471.14

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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.