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Finding the Fourth Proportional to 13,738.98, 20,620.62 and 7,504.68

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Solution

The fourth proportional to 13,738.98, 20,620.62 and 7,504.68 is: 11,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.98 : 20,620.62 = 7,504.68 : x
  2. Step 2: Convert to fraction form
    13,738.98/20,620.62 = 7,504.68/x
  3. Step 3: Cross multiply
    13,738.98x = 20,620.62 × 7,504.68
  4. Step 4: Simplify right side
    13,738.98x = 154,751,154.50
  5. Step 5: Solve for x
    x = 154,751,154.50/13,738.98
  6. Step 6: Final answer
    x = 11,263.66

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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.