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Finding the Fourth Proportional to 16,586.46, 22,889.25 and 9,033.21

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Solution

The fourth proportional to 16,586.46, 22,889.25 and 9,033.21 is: 12,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.46 : 22,889.25 = 9,033.21 : x
  2. Step 2: Convert to fraction form
    16,586.46/22,889.25 = 9,033.21/x
  3. Step 3: Cross multiply
    16,586.46x = 22,889.25 × 9,033.21
  4. Step 4: Simplify right side
    16,586.46x = 206,763,401.99
  5. Step 5: Solve for x
    x = 206,763,401.99/16,586.46
  6. Step 6: Final answer
    x = 12,465.79

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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.