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Finding the Fourth Proportional to 17,442.21, 26,167.25 and 6,349

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Solution

The fourth proportional to 17,442.21, 26,167.25 and 6,349 is: 9,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.21 : 26,167.25 = 6,349 : x
  2. Step 2: Convert to fraction form
    17,442.21/26,167.25 = 6,349/x
  3. Step 3: Cross multiply
    17,442.21x = 26,167.25 × 6,349
  4. Step 4: Simplify right side
    17,442.21x = 166,135,870.25
  5. Step 5: Solve for x
    x = 166,135,870.25/17,442.21
  6. Step 6: Final answer
    x = 9,524.93

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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.