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Finding the Fourth Proportional to 13,832.28, 20,737.79 and 7,161.63

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Solution

The fourth proportional to 13,832.28, 20,737.79 and 7,161.63 is: 10,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.28 : 20,737.79 = 7,161.63 : x
  2. Step 2: Convert to fraction form
    13,832.28/20,737.79 = 7,161.63/x
  3. Step 3: Cross multiply
    13,832.28x = 20,737.79 × 7,161.63
  4. Step 4: Simplify right side
    13,832.28x = 148,516,239.50
  5. Step 5: Solve for x
    x = 148,516,239.50/13,832.28
  6. Step 6: Final answer
    x = 10,736.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.