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Finding the Fourth Proportional to 13,553.76, 20,353.90 and 8,319.50

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Solution

The fourth proportional to 13,553.76, 20,353.90 and 8,319.50 is: 12,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.76 : 20,353.90 = 8,319.50 : x
  2. Step 2: Convert to fraction form
    13,553.76/20,353.90 = 8,319.50/x
  3. Step 3: Cross multiply
    13,553.76x = 20,353.90 × 8,319.50
  4. Step 4: Simplify right side
    13,553.76x = 169,334,229.45
  5. Step 5: Solve for x
    x = 169,334,229.45/13,553.76
  6. Step 6: Final answer
    x = 12,493.53

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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.