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Finding the Fourth Proportional to 16,722.80, 23,076.10 and 9,169

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Solution

The fourth proportional to 16,722.80, 23,076.10 and 9,169 is: 12,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.80 : 23,076.10 = 9,169 : x
  2. Step 2: Convert to fraction form
    16,722.80/23,076.10 = 9,169/x
  3. Step 3: Cross multiply
    16,722.80x = 23,076.10 × 9,169
  4. Step 4: Simplify right side
    16,722.80x = 211,584,760.90
  5. Step 5: Solve for x
    x = 211,584,760.90/16,722.80
  6. Step 6: Final answer
    x = 12,652.47

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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.