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Finding the Fourth Proportional to 13,189.50, 19,757.52 and 10,991.16

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Solution

The fourth proportional to 13,189.50, 19,757.52 and 10,991.16 is: 16,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.50 : 19,757.52 = 10,991.16 : x
  2. Step 2: Convert to fraction form
    13,189.50/19,757.52 = 10,991.16/x
  3. Step 3: Cross multiply
    13,189.50x = 19,757.52 × 10,991.16
  4. Step 4: Simplify right side
    13,189.50x = 217,158,063.52
  5. Step 5: Solve for x
    x = 217,158,063.52/13,189.50
  6. Step 6: Final answer
    x = 16,464.47

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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.