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Finding the Fourth Proportional to 22,880.27, 31,571.14 and 12,809.14

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Solution

The fourth proportional to 22,880.27, 31,571.14 and 12,809.14 is: 17,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880.27 : 31,571.14 = 12,809.14 : x
  2. Step 2: Convert to fraction form
    22,880.27/31,571.14 = 12,809.14/x
  3. Step 3: Cross multiply
    22,880.27x = 31,571.14 × 12,809.14
  4. Step 4: Simplify right side
    22,880.27x = 404,399,152.22
  5. Step 5: Solve for x
    x = 404,399,152.22/22,880.27
  6. Step 6: Final answer
    x = 17,674.58

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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.