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Finding the Fourth Proportional to 22,696.50, 34,047.95 and 6,057.08

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Solution

The fourth proportional to 22,696.50, 34,047.95 and 6,057.08 is: 9,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.50 : 34,047.95 = 6,057.08 : x
  2. Step 2: Convert to fraction form
    22,696.50/34,047.95 = 6,057.08/x
  3. Step 3: Cross multiply
    22,696.50x = 34,047.95 × 6,057.08
  4. Step 4: Simplify right side
    22,696.50x = 206,231,084.14
  5. Step 5: Solve for x
    x = 206,231,084.14/22,696.50
  6. Step 6: Final answer
    x = 9,086.47

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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.