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Finding the Fourth Proportional to 27,402.83, 37,778.24 and 17,326.22

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Solution

The fourth proportional to 27,402.83, 37,778.24 and 17,326.22 is: 23,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.83 : 37,778.24 = 17,326.22 : x
  2. Step 2: Convert to fraction form
    27,402.83/37,778.24 = 17,326.22/x
  3. Step 3: Cross multiply
    27,402.83x = 37,778.24 × 17,326.22
  4. Step 4: Simplify right side
    27,402.83x = 654,554,010.82
  5. Step 5: Solve for x
    x = 654,554,010.82/27,402.83
  6. Step 6: Final answer
    x = 23,886.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.