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Finding the Fourth Proportional to 13,698.96, 20,500.20 and 10,181.76

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Solution

The fourth proportional to 13,698.96, 20,500.20 and 10,181.76 is: 15,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.96 : 20,500.20 = 10,181.76 : x
  2. Step 2: Convert to fraction form
    13,698.96/20,500.20 = 10,181.76/x
  3. Step 3: Cross multiply
    13,698.96x = 20,500.20 × 10,181.76
  4. Step 4: Simplify right side
    13,698.96x = 208,728,116.35
  5. Step 5: Solve for x
    x = 208,728,116.35/13,698.96
  6. Step 6: Final answer
    x = 15,236.79

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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.