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Finding the Fourth Proportional to 13,310.49, 19,965.84 and 5,912.97

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Solution

The fourth proportional to 13,310.49, 19,965.84 and 5,912.97 is: 8,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.49 : 19,965.84 = 5,912.97 : x
  2. Step 2: Convert to fraction form
    13,310.49/19,965.84 = 5,912.97/x
  3. Step 3: Cross multiply
    13,310.49x = 19,965.84 × 5,912.97
  4. Step 4: Simplify right side
    13,310.49x = 118,057,412.94
  5. Step 5: Solve for x
    x = 118,057,412.94/13,310.49
  6. Step 6: Final answer
    x = 8,869.50

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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.