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Finding the Fourth Proportional to 27,472.14, 37,891.53 and 17,402.22

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Solution

The fourth proportional to 27,472.14, 37,891.53 and 17,402.22 is: 24,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.14 : 37,891.53 = 17,402.22 : x
  2. Step 2: Convert to fraction form
    27,472.14/37,891.53 = 17,402.22/x
  3. Step 3: Cross multiply
    27,472.14x = 37,891.53 × 17,402.22
  4. Step 4: Simplify right side
    27,472.14x = 659,396,741.20
  5. Step 5: Solve for x
    x = 659,396,741.20/27,472.14
  6. Step 6: Final answer
    x = 24,002.38

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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.