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Finding the Fourth Proportional to 16,874.46, 23,290.29 and 11,209.68

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Solution

The fourth proportional to 16,874.46, 23,290.29 and 11,209.68 is: 15,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.46 : 23,290.29 = 11,209.68 : x
  2. Step 2: Convert to fraction form
    16,874.46/23,290.29 = 11,209.68/x
  3. Step 3: Cross multiply
    16,874.46x = 23,290.29 × 11,209.68
  4. Step 4: Simplify right side
    16,874.46x = 261,076,698.01
  5. Step 5: Solve for x
    x = 261,076,698.01/16,874.46
  6. Step 6: Final answer
    x = 15,471.71

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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.