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Finding the Fourth Proportional to 27,398.25, 37,809.86 and 14,823.27

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Solution

The fourth proportional to 27,398.25, 37,809.86 and 14,823.27 is: 20,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,398.25 : 37,809.86 = 14,823.27 : x
  2. Step 2: Convert to fraction form
    27,398.25/37,809.86 = 14,823.27/x
  3. Step 3: Cross multiply
    27,398.25x = 37,809.86 × 14,823.27
  4. Step 4: Simplify right side
    27,398.25x = 560,465,689.33
  5. Step 5: Solve for x
    x = 560,465,689.33/27,398.25
  6. Step 6: Final answer
    x = 20,456.26

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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.