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Finding the Fourth Proportional to 20,099.16, 27,730.62 and 11,709.72

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Solution

The fourth proportional to 20,099.16, 27,730.62 and 11,709.72 is: 16,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.16 : 27,730.62 = 11,709.72 : x
  2. Step 2: Convert to fraction form
    20,099.16/27,730.62 = 11,709.72/x
  3. Step 3: Cross multiply
    20,099.16x = 27,730.62 × 11,709.72
  4. Step 4: Simplify right side
    20,099.16x = 324,717,795.63
  5. Step 5: Solve for x
    x = 324,717,795.63/20,099.16
  6. Step 6: Final answer
    x = 16,155.79

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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.