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Finding the Fourth Proportional to 16,220.96, 22,384.50 and 9,147.23

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Solution

The fourth proportional to 16,220.96, 22,384.50 and 9,147.23 is: 12,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.96 : 22,384.50 = 9,147.23 : x
  2. Step 2: Convert to fraction form
    16,220.96/22,384.50 = 9,147.23/x
  3. Step 3: Cross multiply
    16,220.96x = 22,384.50 × 9,147.23
  4. Step 4: Simplify right side
    16,220.96x = 204,756,169.94
  5. Step 5: Solve for x
    x = 204,756,169.94/16,220.96
  6. Step 6: Final answer
    x = 12,622.94

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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.