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Finding the Fourth Proportional to 20,099.72, 27,737.58 and 11,147

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Solution

The fourth proportional to 20,099.72, 27,737.58 and 11,147 is: 15,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.72 : 27,737.58 = 11,147 : x
  2. Step 2: Convert to fraction form
    20,099.72/27,737.58 = 11,147/x
  3. Step 3: Cross multiply
    20,099.72x = 27,737.58 × 11,147
  4. Step 4: Simplify right side
    20,099.72x = 309,190,804.26
  5. Step 5: Solve for x
    x = 309,190,804.26/20,099.72
  6. Step 6: Final answer
    x = 15,382.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.