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Finding the Fourth Proportional to 27,341.38, 37,740.40 and 17,001.22

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Solution

The fourth proportional to 27,341.38, 37,740.40 and 17,001.22 is: 23,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341.38 : 37,740.40 = 17,001.22 : x
  2. Step 2: Convert to fraction form
    27,341.38/37,740.40 = 17,001.22/x
  3. Step 3: Cross multiply
    27,341.38x = 37,740.40 × 17,001.22
  4. Step 4: Simplify right side
    27,341.38x = 641,632,843.29
  5. Step 5: Solve for x
    x = 641,632,843.29/27,341.38
  6. Step 6: Final answer
    x = 23,467.46

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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.