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Finding the Fourth Proportional to 14,559.62, 20,091.68 and 8,186.03

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Solution

The fourth proportional to 14,559.62, 20,091.68 and 8,186.03 is: 11,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.62 : 20,091.68 = 8,186.03 : x
  2. Step 2: Convert to fraction form
    14,559.62/20,091.68 = 8,186.03/x
  3. Step 3: Cross multiply
    14,559.62x = 20,091.68 × 8,186.03
  4. Step 4: Simplify right side
    14,559.62x = 164,471,059.88
  5. Step 5: Solve for x
    x = 164,471,059.88/14,559.62
  6. Step 6: Final answer
    x = 11,296.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.