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Finding the Fourth Proportional to 13,380.77, 20,073.41 and 4,947.77

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Solution

The fourth proportional to 13,380.77, 20,073.41 and 4,947.77 is: 7,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.77 : 20,073.41 = 4,947.77 : x
  2. Step 2: Convert to fraction form
    13,380.77/20,073.41 = 4,947.77/x
  3. Step 3: Cross multiply
    13,380.77x = 20,073.41 × 4,947.77
  4. Step 4: Simplify right side
    13,380.77x = 99,318,615.80
  5. Step 5: Solve for x
    x = 99,318,615.80/13,380.77
  6. Step 6: Final answer
    x = 7,422.49

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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.