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Finding the Fourth Proportional to 11,232.78, 16,834.41 and 9,764.94

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Solution

The fourth proportional to 11,232.78, 16,834.41 and 9,764.94 is: 14,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.78 : 16,834.41 = 9,764.94 : x
  2. Step 2: Convert to fraction form
    11,232.78/16,834.41 = 9,764.94/x
  3. Step 3: Cross multiply
    11,232.78x = 16,834.41 × 9,764.94
  4. Step 4: Simplify right side
    11,232.78x = 164,387,003.59
  5. Step 5: Solve for x
    x = 164,387,003.59/11,232.78
  6. Step 6: Final answer
    x = 14,634.58

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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.