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Finding the Fourth Proportional to 13,764.96, 20,647.08 and 3,904.14

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Solution

The fourth proportional to 13,764.96, 20,647.08 and 3,904.14 is: 5,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.96 : 20,647.08 = 3,904.14 : x
  2. Step 2: Convert to fraction form
    13,764.96/20,647.08 = 3,904.14/x
  3. Step 3: Cross multiply
    13,764.96x = 20,647.08 × 3,904.14
  4. Step 4: Simplify right side
    13,764.96x = 80,609,090.91
  5. Step 5: Solve for x
    x = 80,609,090.91/13,764.96
  6. Step 6: Final answer
    x = 5,856.11

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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.