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Finding the Fourth Proportional to 16,850.24, 25,281.90 and 6,987

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Solution

The fourth proportional to 16,850.24, 25,281.90 and 6,987 is: 10,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.24 : 25,281.90 = 6,987 : x
  2. Step 2: Convert to fraction form
    16,850.24/25,281.90 = 6,987/x
  3. Step 3: Cross multiply
    16,850.24x = 25,281.90 × 6,987
  4. Step 4: Simplify right side
    16,850.24x = 176,644,635.30
  5. Step 5: Solve for x
    x = 176,644,635.30/16,850.24
  6. Step 6: Final answer
    x = 10,483.21

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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.