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Finding the Fourth Proportional to 22,696.49, 34,045.65 and 7,906.91

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Solution

The fourth proportional to 22,696.49, 34,045.65 and 7,906.91 is: 11,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.49 : 34,045.65 = 7,906.91 : x
  2. Step 2: Convert to fraction form
    22,696.49/34,045.65 = 7,906.91/x
  3. Step 3: Cross multiply
    22,696.49x = 34,045.65 × 7,906.91
  4. Step 4: Simplify right side
    22,696.49x = 269,195,720.21
  5. Step 5: Solve for x
    x = 269,195,720.21/22,696.49
  6. Step 6: Final answer
    x = 11,860.67

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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.