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Finding the Fourth Proportional to 16,020.25, 22,107.95 and 8,946.67

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Solution

The fourth proportional to 16,020.25, 22,107.95 and 8,946.67 is: 12,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.25 : 22,107.95 = 8,946.67 : x
  2. Step 2: Convert to fraction form
    16,020.25/22,107.95 = 8,946.67/x
  3. Step 3: Cross multiply
    16,020.25x = 22,107.95 × 8,946.67
  4. Step 4: Simplify right side
    16,020.25x = 197,792,533.03
  5. Step 5: Solve for x
    x = 197,792,533.03/16,020.25
  6. Step 6: Final answer
    x = 12,346.41

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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.