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Finding the Fourth Proportional to 17,782.15, 26,673.06 and 7,249.71

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Solution

The fourth proportional to 17,782.15, 26,673.06 and 7,249.71 is: 10,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.15 : 26,673.06 = 7,249.71 : x
  2. Step 2: Convert to fraction form
    17,782.15/26,673.06 = 7,249.71/x
  3. Step 3: Cross multiply
    17,782.15x = 26,673.06 × 7,249.71
  4. Step 4: Simplify right side
    17,782.15x = 193,371,816.45
  5. Step 5: Solve for x
    x = 193,371,816.45/17,782.15
  6. Step 6: Final answer
    x = 10,874.49

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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.