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Finding the Fourth Proportional to 17,328, 26,003.52 and 6,384

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Solution

The fourth proportional to 17,328, 26,003.52 and 6,384 is: 9,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 26,003.52 = 6,384 : x
  2. Step 2: Convert to fraction form
    17,328/26,003.52 = 6,384/x
  3. Step 3: Cross multiply
    17,328x = 26,003.52 × 6,384
  4. Step 4: Simplify right side
    17,328x = 166,006,471.68
  5. Step 5: Solve for x
    x = 166,006,471.68/17,328
  6. Step 6: Final answer
    x = 9,580.24

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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.