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Finding the Fourth Proportional to 13,705.20, 20,536.20 and 5,911.92

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Solution

The fourth proportional to 13,705.20, 20,536.20 and 5,911.92 is: 8,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 20,536.20 = 5,911.92 : x
  2. Step 2: Convert to fraction form
    13,705.20/20,536.20 = 5,911.92/x
  3. Step 3: Cross multiply
    13,705.20x = 20,536.20 × 5,911.92
  4. Step 4: Simplify right side
    13,705.20x = 121,408,371.50
  5. Step 5: Solve for x
    x = 121,408,371.50/13,705.20
  6. Step 6: Final answer
    x = 8,858.56

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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.