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Finding the Fourth Proportional to 17,364, 26,046.72 and 5,052

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Solution

The fourth proportional to 17,364, 26,046.72 and 5,052 is: 7,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364 : 26,046.72 = 5,052 : x
  2. Step 2: Convert to fraction form
    17,364/26,046.72 = 5,052/x
  3. Step 3: Cross multiply
    17,364x = 26,046.72 × 5,052
  4. Step 4: Simplify right side
    17,364x = 131,588,029.44
  5. Step 5: Solve for x
    x = 131,588,029.44/17,364
  6. Step 6: Final answer
    x = 7,578.21

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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.