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Finding the Fourth Proportional to 17,649, 26,474.14 and 5,337

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Solution

The fourth proportional to 17,649, 26,474.14 and 5,337 is: 8,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 26,474.14 = 5,337 : x
  2. Step 2: Convert to fraction form
    17,649/26,474.14 = 5,337/x
  3. Step 3: Cross multiply
    17,649x = 26,474.14 × 5,337
  4. Step 4: Simplify right side
    17,649x = 141,292,485.18
  5. Step 5: Solve for x
    x = 141,292,485.18/17,649
  6. Step 6: Final answer
    x = 8,005.69

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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.