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Finding the Fourth Proportional to 13,690.69, 20,542.21 and 7,847.30

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Solution

The fourth proportional to 13,690.69, 20,542.21 and 7,847.30 is: 11,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.69 : 20,542.21 = 7,847.30 : x
  2. Step 2: Convert to fraction form
    13,690.69/20,542.21 = 7,847.30/x
  3. Step 3: Cross multiply
    13,690.69x = 20,542.21 × 7,847.30
  4. Step 4: Simplify right side
    13,690.69x = 161,200,916.27
  5. Step 5: Solve for x
    x = 161,200,916.27/13,690.69
  6. Step 6: Final answer
    x = 11,774.49

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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.