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Finding the Fourth Proportional to 16,716.78, 23,069.21 and 9,647.30

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Solution

The fourth proportional to 16,716.78, 23,069.21 and 9,647.30 is: 13,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716.78 : 23,069.21 = 9,647.30 : x
  2. Step 2: Convert to fraction form
    16,716.78/23,069.21 = 9,647.30/x
  3. Step 3: Cross multiply
    16,716.78x = 23,069.21 × 9,647.30
  4. Step 4: Simplify right side
    16,716.78x = 222,555,599.07
  5. Step 5: Solve for x
    x = 222,555,599.07/16,716.78
  6. Step 6: Final answer
    x = 13,313.31

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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.