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Finding the Fourth Proportional to 22,786.25, 34,180.41 and 6,990.12

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Solution

The fourth proportional to 22,786.25, 34,180.41 and 6,990.12 is: 10,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.25 : 34,180.41 = 6,990.12 : x
  2. Step 2: Convert to fraction form
    22,786.25/34,180.41 = 6,990.12/x
  3. Step 3: Cross multiply
    22,786.25x = 34,180.41 × 6,990.12
  4. Step 4: Simplify right side
    22,786.25x = 238,925,167.55
  5. Step 5: Solve for x
    x = 238,925,167.55/22,786.25
  6. Step 6: Final answer
    x = 10,485.50

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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.