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Finding the Fourth Proportional to 27,809.25, 38,377.71 and 15,234.81

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Solution

The fourth proportional to 27,809.25, 38,377.71 and 15,234.81 is: 21,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.25 : 38,377.71 = 15,234.81 : x
  2. Step 2: Convert to fraction form
    27,809.25/38,377.71 = 15,234.81/x
  3. Step 3: Cross multiply
    27,809.25x = 38,377.71 × 15,234.81
  4. Step 4: Simplify right side
    27,809.25x = 584,677,120.09
  5. Step 5: Solve for x
    x = 584,677,120.09/27,809.25
  6. Step 6: Final answer
    x = 21,024.56

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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.