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Finding the Fourth Proportional to 20,137.57, 27,792.03 and 12,184.18

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Solution

The fourth proportional to 20,137.57, 27,792.03 and 12,184.18 is: 16,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.57 : 27,792.03 = 12,184.18 : x
  2. Step 2: Convert to fraction form
    20,137.57/27,792.03 = 12,184.18/x
  3. Step 3: Cross multiply
    20,137.57x = 27,792.03 × 12,184.18
  4. Step 4: Simplify right side
    20,137.57x = 338,623,096.09
  5. Step 5: Solve for x
    x = 338,623,096.09/20,137.57
  6. Step 6: Final answer
    x = 16,815.49

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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.