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Finding the Fourth Proportional to 25,408.69, 38,113.05 and 10,609.54

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Solution

The fourth proportional to 25,408.69, 38,113.05 and 10,609.54 is: 15,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.69 : 38,113.05 = 10,609.54 : x
  2. Step 2: Convert to fraction form
    25,408.69/38,113.05 = 10,609.54/x
  3. Step 3: Cross multiply
    25,408.69x = 38,113.05 × 10,609.54
  4. Step 4: Simplify right side
    25,408.69x = 404,361,928.50
  5. Step 5: Solve for x
    x = 404,361,928.50/25,408.69
  6. Step 6: Final answer
    x = 15,914.32

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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.