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Finding the Fourth Proportional to 13,441.50, 20,169.54 and 6,516

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Solution

The fourth proportional to 13,441.50, 20,169.54 and 6,516 is: 9,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.50 : 20,169.54 = 6,516 : x
  2. Step 2: Convert to fraction form
    13,441.50/20,169.54 = 6,516/x
  3. Step 3: Cross multiply
    13,441.50x = 20,169.54 × 6,516
  4. Step 4: Simplify right side
    13,441.50x = 131,424,722.64
  5. Step 5: Solve for x
    x = 131,424,722.64/13,441.50
  6. Step 6: Final answer
    x = 9,777.53

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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.