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Finding the Fourth Proportional to 16,855, 25,282.41 and 4,375.02

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Solution

The fourth proportional to 16,855, 25,282.41 and 4,375.02 is: 6,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855 : 25,282.41 = 4,375.02 : x
  2. Step 2: Convert to fraction form
    16,855/25,282.41 = 4,375.02/x
  3. Step 3: Cross multiply
    16,855x = 25,282.41 × 4,375.02
  4. Step 4: Simplify right side
    16,855x = 110,611,049.40
  5. Step 5: Solve for x
    x = 110,611,049.40/16,855
  6. Step 6: Final answer
    x = 6,562.51

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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.