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Finding the Fourth Proportional to 16,333.50, 22,542.27 and 9,709.50

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Solution

The fourth proportional to 16,333.50, 22,542.27 and 9,709.50 is: 13,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.50 : 22,542.27 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    16,333.50/22,542.27 = 9,709.50/x
  3. Step 3: Cross multiply
    16,333.50x = 22,542.27 × 9,709.50
  4. Step 4: Simplify right side
    16,333.50x = 218,874,170.57
  5. Step 5: Solve for x
    x = 218,874,170.57/16,333.50
  6. Step 6: Final answer
    x = 13,400.32

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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.