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Finding the Fourth Proportional to 13,771.50, 20,657.49 and 5,563.50

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Solution

The fourth proportional to 13,771.50, 20,657.49 and 5,563.50 is: 8,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.50 : 20,657.49 = 5,563.50 : x
  2. Step 2: Convert to fraction form
    13,771.50/20,657.49 = 5,563.50/x
  3. Step 3: Cross multiply
    13,771.50x = 20,657.49 × 5,563.50
  4. Step 4: Simplify right side
    13,771.50x = 114,927,945.62
  5. Step 5: Solve for x
    x = 114,927,945.62/13,771.50
  6. Step 6: Final answer
    x = 8,345.35

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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.