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Finding the Fourth Proportional to 27,340.38, 37,739.02 and 17,000.22

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Solution

The fourth proportional to 27,340.38, 37,739.02 and 17,000.22 is: 23,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340.38 : 37,739.02 = 17,000.22 : x
  2. Step 2: Convert to fraction form
    27,340.38/37,739.02 = 17,000.22/x
  3. Step 3: Cross multiply
    27,340.38x = 37,739.02 × 17,000.22
  4. Step 4: Simplify right side
    27,340.38x = 641,571,642.58
  5. Step 5: Solve for x
    x = 641,571,642.58/27,340.38
  6. Step 6: Final answer
    x = 23,466.08

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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.