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Finding the Fourth Proportional to 25,614.83, 38,419.11 and 6,896.34

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Solution

The fourth proportional to 25,614.83, 38,419.11 and 6,896.34 is: 10,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.83 : 38,419.11 = 6,896.34 : x
  2. Step 2: Convert to fraction form
    25,614.83/38,419.11 = 6,896.34/x
  3. Step 3: Cross multiply
    25,614.83x = 38,419.11 × 6,896.34
  4. Step 4: Simplify right side
    25,614.83x = 264,951,245.06
  5. Step 5: Solve for x
    x = 264,951,245.06/25,614.83
  6. Step 6: Final answer
    x = 10,343.66

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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.