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Finding the Fourth Proportional to 25,741.14, 38,614.05 and 9,099.42

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Solution

The fourth proportional to 25,741.14, 38,614.05 and 9,099.42 is: 13,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.14 : 38,614.05 = 9,099.42 : x
  2. Step 2: Convert to fraction form
    25,741.14/38,614.05 = 9,099.42/x
  3. Step 3: Cross multiply
    25,741.14x = 38,614.05 × 9,099.42
  4. Step 4: Simplify right side
    25,741.14x = 351,365,458.85
  5. Step 5: Solve for x
    x = 351,365,458.85/25,741.14
  6. Step 6: Final answer
    x = 13,649.96

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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.