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Finding the Fourth Proportional to 13,761.54, 20,635.98 and 4,399.50

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Solution

The fourth proportional to 13,761.54, 20,635.98 and 4,399.50 is: 6,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.54 : 20,635.98 = 4,399.50 : x
  2. Step 2: Convert to fraction form
    13,761.54/20,635.98 = 4,399.50/x
  3. Step 3: Cross multiply
    13,761.54x = 20,635.98 × 4,399.50
  4. Step 4: Simplify right side
    13,761.54x = 90,787,994.01
  5. Step 5: Solve for x
    x = 90,787,994.01/13,761.54
  6. Step 6: Final answer
    x = 6,597.23

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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.