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Finding the Fourth Proportional to 17,246.78, 25,865.17 and 6,714.45

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Solution

The fourth proportional to 17,246.78, 25,865.17 and 6,714.45 is: 10,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246.78 : 25,865.17 = 6,714.45 : x
  2. Step 2: Convert to fraction form
    17,246.78/25,865.17 = 6,714.45/x
  3. Step 3: Cross multiply
    17,246.78x = 25,865.17 × 6,714.45
  4. Step 4: Simplify right side
    17,246.78x = 173,670,442.99
  5. Step 5: Solve for x
    x = 173,670,442.99/17,246.78
  6. Step 6: Final answer
    x = 10,069.73

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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.