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Finding the Fourth Proportional to 13,819.30, 20,728.96 and 4,459.98

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Solution

The fourth proportional to 13,819.30, 20,728.96 and 4,459.98 is: 6,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.30 : 20,728.96 = 4,459.98 : x
  2. Step 2: Convert to fraction form
    13,819.30/20,728.96 = 4,459.98/x
  3. Step 3: Cross multiply
    13,819.30x = 20,728.96 × 4,459.98
  4. Step 4: Simplify right side
    13,819.30x = 92,450,747.02
  5. Step 5: Solve for x
    x = 92,450,747.02/13,819.30
  6. Step 6: Final answer
    x = 6,689.97

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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.