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Finding the Fourth Proportional to 13,338.84, 20,027.70 and 9,463.80

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Solution

The fourth proportional to 13,338.84, 20,027.70 and 9,463.80 is: 14,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.84 : 20,027.70 = 9,463.80 : x
  2. Step 2: Convert to fraction form
    13,338.84/20,027.70 = 9,463.80/x
  3. Step 3: Cross multiply
    13,338.84x = 20,027.70 × 9,463.80
  4. Step 4: Simplify right side
    13,338.84x = 189,538,147.26
  5. Step 5: Solve for x
    x = 189,538,147.26/13,338.84
  6. Step 6: Final answer
    x = 14,209.49

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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.