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Finding the Fourth Proportional to 22,696.18, 34,045.19 and 7,906.60

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Solution

The fourth proportional to 22,696.18, 34,045.19 and 7,906.60 is: 11,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.18 : 34,045.19 = 7,906.60 : x
  2. Step 2: Convert to fraction form
    22,696.18/34,045.19 = 7,906.60/x
  3. Step 3: Cross multiply
    22,696.18x = 34,045.19 × 7,906.60
  4. Step 4: Simplify right side
    22,696.18x = 269,181,489.50
  5. Step 5: Solve for x
    x = 269,181,489.50/22,696.18
  6. Step 6: Final answer
    x = 11,860.21

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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.