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Finding the Fourth Proportional to 13,819.50, 20,732.31 and 5,054.22

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Solution

The fourth proportional to 13,819.50, 20,732.31 and 5,054.22 is: 7,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.50 : 20,732.31 = 5,054.22 : x
  2. Step 2: Convert to fraction form
    13,819.50/20,732.31 = 5,054.22/x
  3. Step 3: Cross multiply
    13,819.50x = 20,732.31 × 5,054.22
  4. Step 4: Simplify right side
    13,819.50x = 104,785,655.85
  5. Step 5: Solve for x
    x = 104,785,655.85/13,819.50
  6. Step 6: Final answer
    x = 7,582.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.