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Finding the Fourth Proportional to 27,006.34, 37,276.57 and 15,678.38

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Solution

The fourth proportional to 27,006.34, 37,276.57 and 15,678.38 is: 21,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.34 : 37,276.57 = 15,678.38 : x
  2. Step 2: Convert to fraction form
    27,006.34/37,276.57 = 15,678.38/x
  3. Step 3: Cross multiply
    27,006.34x = 37,276.57 × 15,678.38
  4. Step 4: Simplify right side
    27,006.34x = 584,436,229.56
  5. Step 5: Solve for x
    x = 584,436,229.56/27,006.34
  6. Step 6: Final answer
    x = 21,640.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.