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Finding the Fourth Proportional to 27,296.38, 37,666.38 and 16,696.72

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Solution

The fourth proportional to 27,296.38, 37,666.38 and 16,696.72 is: 23,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,296.38 : 37,666.38 = 16,696.72 : x
  2. Step 2: Convert to fraction form
    27,296.38/37,666.38 = 16,696.72/x
  3. Step 3: Cross multiply
    27,296.38x = 37,666.38 × 16,696.72
  4. Step 4: Simplify right side
    27,296.38x = 628,905,000.27
  5. Step 5: Solve for x
    x = 628,905,000.27/27,296.38
  6. Step 6: Final answer
    x = 23,039.87

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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.