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Finding the Fourth Proportional to 27,693.87, 38,204.46 and 16,355.80

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Solution

The fourth proportional to 27,693.87, 38,204.46 and 16,355.80 is: 22,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.87 : 38,204.46 = 16,355.80 : x
  2. Step 2: Convert to fraction form
    27,693.87/38,204.46 = 16,355.80/x
  3. Step 3: Cross multiply
    27,693.87x = 38,204.46 × 16,355.80
  4. Step 4: Simplify right side
    27,693.87x = 624,864,447.17
  5. Step 5: Solve for x
    x = 624,864,447.17/27,693.87
  6. Step 6: Final answer
    x = 22,563.27

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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.