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Finding the Fourth Proportional to 16,220.81, 22,384.73 and 9,147.24

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Solution

The fourth proportional to 16,220.81, 22,384.73 and 9,147.24 is: 12,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.81 : 22,384.73 = 9,147.24 : x
  2. Step 2: Convert to fraction form
    16,220.81/22,384.73 = 9,147.24/x
  3. Step 3: Cross multiply
    16,220.81x = 22,384.73 × 9,147.24
  4. Step 4: Simplify right side
    16,220.81x = 204,758,451.91
  5. Step 5: Solve for x
    x = 204,758,451.91/16,220.81
  6. Step 6: Final answer
    x = 12,623.19

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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.