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Finding the Fourth Proportional to 16,803.21, 25,216.44 and 6,942.58

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Solution

The fourth proportional to 16,803.21, 25,216.44 and 6,942.58 is: 10,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.21 : 25,216.44 = 6,942.58 : x
  2. Step 2: Convert to fraction form
    16,803.21/25,216.44 = 6,942.58/x
  3. Step 3: Cross multiply
    16,803.21x = 25,216.44 × 6,942.58
  4. Step 4: Simplify right side
    16,803.21x = 175,067,062.94
  5. Step 5: Solve for x
    x = 175,067,062.94/16,803.21
  6. Step 6: Final answer
    x = 10,418.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.