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Finding the Fourth Proportional to 16,783.74, 23,159.97 and 9,229.94

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Solution

The fourth proportional to 16,783.74, 23,159.97 and 9,229.94 is: 12,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.74 : 23,159.97 = 9,229.94 : x
  2. Step 2: Convert to fraction form
    16,783.74/23,159.97 = 9,229.94/x
  3. Step 3: Cross multiply
    16,783.74x = 23,159.97 × 9,229.94
  4. Step 4: Simplify right side
    16,783.74x = 213,765,133.50
  5. Step 5: Solve for x
    x = 213,765,133.50/16,783.74
  6. Step 6: Final answer
    x = 12,736.44

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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.