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Finding the Fourth Proportional to 20,142.66, 27,792.39 and 12,184.71

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Solution

The fourth proportional to 20,142.66, 27,792.39 and 12,184.71 is: 16,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.66 : 27,792.39 = 12,184.71 : x
  2. Step 2: Convert to fraction form
    20,142.66/27,792.39 = 12,184.71/x
  3. Step 3: Cross multiply
    20,142.66x = 27,792.39 × 12,184.71
  4. Step 4: Simplify right side
    20,142.66x = 338,642,212.36
  5. Step 5: Solve for x
    x = 338,642,212.36/20,142.66
  6. Step 6: Final answer
    x = 16,812.19

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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.