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Finding the Fourth Proportional to 22,684.85, 34,028.62 and 6,890.41

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Solution

The fourth proportional to 22,684.85, 34,028.62 and 6,890.41 is: 10,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.85 : 34,028.62 = 6,890.41 : x
  2. Step 2: Convert to fraction form
    22,684.85/34,028.62 = 6,890.41/x
  3. Step 3: Cross multiply
    22,684.85x = 34,028.62 × 6,890.41
  4. Step 4: Simplify right side
    22,684.85x = 234,470,938.94
  5. Step 5: Solve for x
    x = 234,470,938.94/22,684.85
  6. Step 6: Final answer
    x = 10,336.01

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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.