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Finding the Fourth Proportional to 13,819.60, 20,732.10 and 5,498.20

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Solution

The fourth proportional to 13,819.60, 20,732.10 and 5,498.20 is: 8,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.60 : 20,732.10 = 5,498.20 : x
  2. Step 2: Convert to fraction form
    13,819.60/20,732.10 = 5,498.20/x
  3. Step 3: Cross multiply
    13,819.60x = 20,732.10 × 5,498.20
  4. Step 4: Simplify right side
    13,819.60x = 113,989,232.22
  5. Step 5: Solve for x
    x = 113,989,232.22/13,819.60
  6. Step 6: Final answer
    x = 8,248.37

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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.