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Finding the Fourth Proportional to 16,283.19, 22,470.44 and 9,209.73

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Solution

The fourth proportional to 16,283.19, 22,470.44 and 9,209.73 is: 12,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.19 : 22,470.44 = 9,209.73 : x
  2. Step 2: Convert to fraction form
    16,283.19/22,470.44 = 9,209.73/x
  3. Step 3: Cross multiply
    16,283.19x = 22,470.44 × 9,209.73
  4. Step 4: Simplify right side
    16,283.19x = 206,946,639.33
  5. Step 5: Solve for x
    x = 206,946,639.33/16,283.19
  6. Step 6: Final answer
    x = 12,709.22

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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.