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Finding the Fourth Proportional to 27,011, 37,274.22 and 15,076.38

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Solution

The fourth proportional to 27,011, 37,274.22 and 15,076.38 is: 20,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011 : 37,274.22 = 15,076.38 : x
  2. Step 2: Convert to fraction form
    27,011/37,274.22 = 15,076.38/x
  3. Step 3: Cross multiply
    27,011x = 37,274.22 × 15,076.38
  4. Step 4: Simplify right side
    27,011x = 561,960,304.92
  5. Step 5: Solve for x
    x = 561,960,304.92/27,011
  6. Step 6: Final answer
    x = 20,804.87

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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.