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Finding the Fourth Proportional to 27,576.66, 38,069.01 and 16,975.38

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Solution

The fourth proportional to 27,576.66, 38,069.01 and 16,975.38 is: 23,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.66 : 38,069.01 = 16,975.38 : x
  2. Step 2: Convert to fraction form
    27,576.66/38,069.01 = 16,975.38/x
  3. Step 3: Cross multiply
    27,576.66x = 38,069.01 × 16,975.38
  4. Step 4: Simplify right side
    27,576.66x = 646,235,910.97
  5. Step 5: Solve for x
    x = 646,235,910.97/27,576.66
  6. Step 6: Final answer
    x = 23,434.16

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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.