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Finding the Fourth Proportional to 13,771.50, 20,663.73 and 7,200.78

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Solution

The fourth proportional to 13,771.50, 20,663.73 and 7,200.78 is: 10,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.50 : 20,663.73 = 7,200.78 : x
  2. Step 2: Convert to fraction form
    13,771.50/20,663.73 = 7,200.78/x
  3. Step 3: Cross multiply
    13,771.50x = 20,663.73 × 7,200.78
  4. Step 4: Simplify right side
    13,771.50x = 148,794,973.71
  5. Step 5: Solve for x
    x = 148,794,973.71/13,771.50
  6. Step 6: Final answer
    x = 10,804.56

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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.