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Finding the Fourth Proportional to 22,696.84, 34,042.47 and 7,904.47

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Solution

The fourth proportional to 22,696.84, 34,042.47 and 7,904.47 is: 11,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.84 : 34,042.47 = 7,904.47 : x
  2. Step 2: Convert to fraction form
    22,696.84/34,042.47 = 7,904.47/x
  3. Step 3: Cross multiply
    22,696.84x = 34,042.47 × 7,904.47
  4. Step 4: Simplify right side
    22,696.84x = 269,087,682.84
  5. Step 5: Solve for x
    x = 269,087,682.84/22,696.84
  6. Step 6: Final answer
    x = 11,855.73

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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.