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Finding the Fourth Proportional to 16,753.14, 23,119.42 and 10,469.16

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Solution

The fourth proportional to 16,753.14, 23,119.42 and 10,469.16 is: 14,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.14 : 23,119.42 = 10,469.16 : x
  2. Step 2: Convert to fraction form
    16,753.14/23,119.42 = 10,469.16/x
  3. Step 3: Cross multiply
    16,753.14x = 23,119.42 × 10,469.16
  4. Step 4: Simplify right side
    16,753.14x = 242,040,907.09
  5. Step 5: Solve for x
    x = 242,040,907.09/16,753.14
  6. Step 6: Final answer
    x = 14,447.50

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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.