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Finding the Fourth Proportional to 27,182.48, 37,514 and 15,855.44

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Solution

The fourth proportional to 27,182.48, 37,514 and 15,855.44 is: 21,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.48 : 37,514 = 15,855.44 : x
  2. Step 2: Convert to fraction form
    27,182.48/37,514 = 15,855.44/x
  3. Step 3: Cross multiply
    27,182.48x = 37,514 × 15,855.44
  4. Step 4: Simplify right side
    27,182.48x = 594,800,976.16
  5. Step 5: Solve for x
    x = 594,800,976.16/27,182.48
  6. Step 6: Final answer
    x = 21,881.78

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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.