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Finding the Fourth Proportional to 27,414, 41,121.72 and 8,946

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Solution

The fourth proportional to 27,414, 41,121.72 and 8,946 is: 13,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 41,121.72 = 8,946 : x
  2. Step 2: Convert to fraction form
    27,414/41,121.72 = 8,946/x
  3. Step 3: Cross multiply
    27,414x = 41,121.72 × 8,946
  4. Step 4: Simplify right side
    27,414x = 367,874,907.12
  5. Step 5: Solve for x
    x = 367,874,907.12/27,414
  6. Step 6: Final answer
    x = 13,419.23

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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.