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Finding the Fourth Proportional to 19,989.25, 29,951.06 and 6,834.44

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Solution

The fourth proportional to 19,989.25, 29,951.06 and 6,834.44 is: 10,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.25 : 29,951.06 = 6,834.44 : x
  2. Step 2: Convert to fraction form
    19,989.25/29,951.06 = 6,834.44/x
  3. Step 3: Cross multiply
    19,989.25x = 29,951.06 × 6,834.44
  4. Step 4: Simplify right side
    19,989.25x = 204,698,722.51
  5. Step 5: Solve for x
    x = 204,698,722.51/19,989.25
  6. Step 6: Final answer
    x = 10,240.44

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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.