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Finding the Fourth Proportional to 20,469.41, 30,647.16 and 10,452.51

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Solution

The fourth proportional to 20,469.41, 30,647.16 and 10,452.51 is: 15,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.41 : 30,647.16 = 10,452.51 : x
  2. Step 2: Convert to fraction form
    20,469.41/30,647.16 = 10,452.51/x
  3. Step 3: Cross multiply
    20,469.41x = 30,647.16 × 10,452.51
  4. Step 4: Simplify right side
    20,469.41x = 320,339,746.37
  5. Step 5: Solve for x
    x = 320,339,746.37/20,469.41
  6. Step 6: Final answer
    x = 15,649.69

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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.