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Finding the Fourth Proportional to 16,809, 25,197.83 and 5,708.10

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Solution

The fourth proportional to 16,809, 25,197.83 and 5,708.10 is: 8,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809 : 25,197.83 = 5,708.10 : x
  2. Step 2: Convert to fraction form
    16,809/25,197.83 = 5,708.10/x
  3. Step 3: Cross multiply
    16,809x = 25,197.83 × 5,708.10
  4. Step 4: Simplify right side
    16,809x = 143,831,607.43
  5. Step 5: Solve for x
    x = 143,831,607.43/16,809
  6. Step 6: Final answer
    x = 8,556.82

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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.