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Finding the Fourth Proportional to 16,220.67, 22,384.58 and 9,147.09

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Solution

The fourth proportional to 16,220.67, 22,384.58 and 9,147.09 is: 12,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.67 : 22,384.58 = 9,147.09 : x
  2. Step 2: Convert to fraction form
    16,220.67/22,384.58 = 9,147.09/x
  3. Step 3: Cross multiply
    16,220.67x = 22,384.58 × 9,147.09
  4. Step 4: Simplify right side
    16,220.67x = 204,753,722.14
  5. Step 5: Solve for x
    x = 204,753,722.14/16,220.67
  6. Step 6: Final answer
    x = 12,623.01

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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.