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Finding the Fourth Proportional to 17,946.50, 26,919.99 and 5,634.50

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Solution

The fourth proportional to 17,946.50, 26,919.99 and 5,634.50 is: 8,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.50 : 26,919.99 = 5,634.50 : x
  2. Step 2: Convert to fraction form
    17,946.50/26,919.99 = 5,634.50/x
  3. Step 3: Cross multiply
    17,946.50x = 26,919.99 × 5,634.50
  4. Step 4: Simplify right side
    17,946.50x = 151,680,683.66
  5. Step 5: Solve for x
    x = 151,680,683.66/17,946.50
  6. Step 6: Final answer
    x = 8,451.83

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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.