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Finding the Fourth Proportional to 16,107.49, 22,222.97 and 9,736.03

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Solution

The fourth proportional to 16,107.49, 22,222.97 and 9,736.03 is: 13,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.49 : 22,222.97 = 9,736.03 : x
  2. Step 2: Convert to fraction form
    16,107.49/22,222.97 = 9,736.03/x
  3. Step 3: Cross multiply
    16,107.49x = 22,222.97 × 9,736.03
  4. Step 4: Simplify right side
    16,107.49x = 216,363,391.49
  5. Step 5: Solve for x
    x = 216,363,391.49/16,107.49
  6. Step 6: Final answer
    x = 13,432.48

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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.