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Finding the Fourth Proportional to 20,166.84, 27,831.42 and 12,211.08

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Solution

The fourth proportional to 20,166.84, 27,831.42 and 12,211.08 is: 16,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.84 : 27,831.42 = 12,211.08 : x
  2. Step 2: Convert to fraction form
    20,166.84/27,831.42 = 12,211.08/x
  3. Step 3: Cross multiply
    20,166.84x = 27,831.42 × 12,211.08
  4. Step 4: Simplify right side
    20,166.84x = 339,851,696.13
  5. Step 5: Solve for x
    x = 339,851,696.13/20,166.84
  6. Step 6: Final answer
    x = 16,852.01

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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.