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Finding the Fourth Proportional to 27,717.76, 38,205.57 and 21,657.41

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Solution

The fourth proportional to 27,717.76, 38,205.57 and 21,657.41 is: 29,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.76 : 38,205.57 = 21,657.41 : x
  2. Step 2: Convert to fraction form
    27,717.76/38,205.57 = 21,657.41/x
  3. Step 3: Cross multiply
    27,717.76x = 38,205.57 × 21,657.41
  4. Step 4: Simplify right side
    27,717.76x = 827,433,727.23
  5. Step 5: Solve for x
    x = 827,433,727.23/27,717.76
  6. Step 6: Final answer
    x = 29,852.11

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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.