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Finding the Fourth Proportional to 16,724.89, 23,080.14 and 9,651.16

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Solution

The fourth proportional to 16,724.89, 23,080.14 and 9,651.16 is: 13,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.89 : 23,080.14 = 9,651.16 : x
  2. Step 2: Convert to fraction form
    16,724.89/23,080.14 = 9,651.16/x
  3. Step 3: Cross multiply
    16,724.89x = 23,080.14 × 9,651.16
  4. Step 4: Simplify right side
    16,724.89x = 222,750,123.96
  5. Step 5: Solve for x
    x = 222,750,123.96/16,724.89
  6. Step 6: Final answer
    x = 13,318.48

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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.