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Finding the Fourth Proportional to 20,052.94, 27,672.16 and 11,099.82

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Solution

The fourth proportional to 20,052.94, 27,672.16 and 11,099.82 is: 15,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.94 : 27,672.16 = 11,099.82 : x
  2. Step 2: Convert to fraction form
    20,052.94/27,672.16 = 11,099.82/x
  3. Step 3: Cross multiply
    20,052.94x = 27,672.16 × 11,099.82
  4. Step 4: Simplify right side
    20,052.94x = 307,155,995.01
  5. Step 5: Solve for x
    x = 307,155,995.01/20,052.94
  6. Step 6: Final answer
    x = 15,317.25

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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.