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Finding the Fourth Proportional to 22,682.52, 34,033.53 and 7,883.37

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Solution

The fourth proportional to 22,682.52, 34,033.53 and 7,883.37 is: 11,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.52 : 34,033.53 = 7,883.37 : x
  2. Step 2: Convert to fraction form
    22,682.52/34,033.53 = 7,883.37/x
  3. Step 3: Cross multiply
    22,682.52x = 34,033.53 × 7,883.37
  4. Step 4: Simplify right side
    22,682.52x = 268,298,909.40
  5. Step 5: Solve for x
    x = 268,298,909.40/22,682.52
  6. Step 6: Final answer
    x = 11,828.44

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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.