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Finding the Fourth Proportional to 13,487.11, 20,194.99 and 9,516.76

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Solution

The fourth proportional to 13,487.11, 20,194.99 and 9,516.76 is: 14,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.11 : 20,194.99 = 9,516.76 : x
  2. Step 2: Convert to fraction form
    13,487.11/20,194.99 = 9,516.76/x
  3. Step 3: Cross multiply
    13,487.11x = 20,194.99 × 9,516.76
  4. Step 4: Simplify right side
    13,487.11x = 192,190,798.75
  5. Step 5: Solve for x
    x = 192,190,798.75/13,487.11
  6. Step 6: Final answer
    x = 14,249.96

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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.