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Finding the Fourth Proportional to 14,982.50, 22,474.91 and 8,743.14

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Solution

The fourth proportional to 14,982.50, 22,474.91 and 8,743.14 is: 13,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.50 : 22,474.91 = 8,743.14 : x
  2. Step 2: Convert to fraction form
    14,982.50/22,474.91 = 8,743.14/x
  3. Step 3: Cross multiply
    14,982.50x = 22,474.91 × 8,743.14
  4. Step 4: Simplify right side
    14,982.50x = 196,501,284.62
  5. Step 5: Solve for x
    x = 196,501,284.62/14,982.50
  6. Step 6: Final answer
    x = 13,115.39

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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.