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Finding the Fourth Proportional to 16,072.75, 22,180.40 and 9,000.24

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Solution

The fourth proportional to 16,072.75, 22,180.40 and 9,000.24 is: 12,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.75 : 22,180.40 = 9,000.24 : x
  2. Step 2: Convert to fraction form
    16,072.75/22,180.40 = 9,000.24/x
  3. Step 3: Cross multiply
    16,072.75x = 22,180.40 × 9,000.24
  4. Step 4: Simplify right side
    16,072.75x = 199,628,923.30
  5. Step 5: Solve for x
    x = 199,628,923.30/16,072.75
  6. Step 6: Final answer
    x = 12,420.33

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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.