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Finding the Fourth Proportional to 27,184.86, 37,536.39 and 17,629.29

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Solution

The fourth proportional to 27,184.86, 37,536.39 and 17,629.29 is: 24,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.86 : 37,536.39 = 17,629.29 : x
  2. Step 2: Convert to fraction form
    27,184.86/37,536.39 = 17,629.29/x
  3. Step 3: Cross multiply
    27,184.86x = 37,536.39 × 17,629.29
  4. Step 4: Simplify right side
    27,184.86x = 661,739,904.86
  5. Step 5: Solve for x
    x = 661,739,904.86/27,184.86
  6. Step 6: Final answer
    x = 24,342.22

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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.