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Finding the Fourth Proportional to 13,478.44, 20,218.92 and 5,579.32

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Solution

The fourth proportional to 13,478.44, 20,218.92 and 5,579.32 is: 8,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.44 : 20,218.92 = 5,579.32 : x
  2. Step 2: Convert to fraction form
    13,478.44/20,218.92 = 5,579.32/x
  3. Step 3: Cross multiply
    13,478.44x = 20,218.92 × 5,579.32
  4. Step 4: Simplify right side
    13,478.44x = 112,807,824.73
  5. Step 5: Solve for x
    x = 112,807,824.73/13,478.44
  6. Step 6: Final answer
    x = 8,369.50

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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.