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Finding the Fourth Proportional to 13,297.76, 19,947.20 and 5,902.32

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Solution

The fourth proportional to 13,297.76, 19,947.20 and 5,902.32 is: 8,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.76 : 19,947.20 = 5,902.32 : x
  2. Step 2: Convert to fraction form
    13,297.76/19,947.20 = 5,902.32/x
  3. Step 3: Cross multiply
    13,297.76x = 19,947.20 × 5,902.32
  4. Step 4: Simplify right side
    13,297.76x = 117,734,757.50
  5. Step 5: Solve for x
    x = 117,734,757.50/13,297.76
  6. Step 6: Final answer
    x = 8,853.73

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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.