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Finding the Fourth Proportional to 17,874.78, 26,811.33 and 6,188.94

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Solution

The fourth proportional to 17,874.78, 26,811.33 and 6,188.94 is: 9,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.78 : 26,811.33 = 6,188.94 : x
  2. Step 2: Convert to fraction form
    17,874.78/26,811.33 = 6,188.94/x
  3. Step 3: Cross multiply
    17,874.78x = 26,811.33 × 6,188.94
  4. Step 4: Simplify right side
    17,874.78x = 165,933,712.69
  5. Step 5: Solve for x
    x = 165,933,712.69/17,874.78
  6. Step 6: Final answer
    x = 9,283.12

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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.