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Finding the Fourth Proportional to 16,283.63, 22,471.41 and 9,209.90

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Solution

The fourth proportional to 16,283.63, 22,471.41 and 9,209.90 is: 12,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.63 : 22,471.41 = 9,209.90 : x
  2. Step 2: Convert to fraction form
    16,283.63/22,471.41 = 9,209.90/x
  3. Step 3: Cross multiply
    16,283.63x = 22,471.41 × 9,209.90
  4. Step 4: Simplify right side
    16,283.63x = 206,959,280.55
  5. Step 5: Solve for x
    x = 206,959,280.55/16,283.63
  6. Step 6: Final answer
    x = 12,709.66

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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.