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Finding the Fourth Proportional to 13,697.76, 20,546.64 and 5,495.52

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Solution

The fourth proportional to 13,697.76, 20,546.64 and 5,495.52 is: 8,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.76 : 20,546.64 = 5,495.52 : x
  2. Step 2: Convert to fraction form
    13,697.76/20,546.64 = 5,495.52/x
  3. Step 3: Cross multiply
    13,697.76x = 20,546.64 × 5,495.52
  4. Step 4: Simplify right side
    13,697.76x = 112,914,471.05
  5. Step 5: Solve for x
    x = 112,914,471.05/13,697.76
  6. Step 6: Final answer
    x = 8,243.28

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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.