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Finding the Fourth Proportional to 14,884.50, 22,296.99 and 8,958.09

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Solution

The fourth proportional to 14,884.50, 22,296.99 and 8,958.09 is: 13,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.50 : 22,296.99 = 8,958.09 : x
  2. Step 2: Convert to fraction form
    14,884.50/22,296.99 = 8,958.09/x
  3. Step 3: Cross multiply
    14,884.50x = 22,296.99 × 8,958.09
  4. Step 4: Simplify right side
    14,884.50x = 199,738,443.15
  5. Step 5: Solve for x
    x = 199,738,443.15/14,884.50
  6. Step 6: Final answer
    x = 13,419.22

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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.