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Finding the Fourth Proportional to 20,165.60, 27,829.18 and 11,213.48

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Solution

The fourth proportional to 20,165.60, 27,829.18 and 11,213.48 is: 15,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.60 : 27,829.18 = 11,213.48 : x
  2. Step 2: Convert to fraction form
    20,165.60/27,829.18 = 11,213.48/x
  3. Step 3: Cross multiply
    20,165.60x = 27,829.18 × 11,213.48
  4. Step 4: Simplify right side
    20,165.60x = 312,061,953.35
  5. Step 5: Solve for x
    x = 312,061,953.35/20,165.60
  6. Step 6: Final answer
    x = 15,474.96

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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.