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Finding the Fourth Proportional to 13,737.32, 18,949.38 and 8,769.32

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Solution

The fourth proportional to 13,737.32, 18,949.38 and 8,769.32 is: 12,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.32 : 18,949.38 = 8,769.32 : x
  2. Step 2: Convert to fraction form
    13,737.32/18,949.38 = 8,769.32/x
  3. Step 3: Cross multiply
    13,737.32x = 18,949.38 × 8,769.32
  4. Step 4: Simplify right side
    13,737.32x = 166,173,177.02
  5. Step 5: Solve for x
    x = 166,173,177.02/13,737.32
  6. Step 6: Final answer
    x = 12,096.48

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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.