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Finding the Fourth Proportional to 16,478.44, 22,741.16 and 9,767.99

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Solution

The fourth proportional to 16,478.44, 22,741.16 and 9,767.99 is: 13,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.44 : 22,741.16 = 9,767.99 : x
  2. Step 2: Convert to fraction form
    16,478.44/22,741.16 = 9,767.99/x
  3. Step 3: Cross multiply
    16,478.44x = 22,741.16 × 9,767.99
  4. Step 4: Simplify right side
    16,478.44x = 222,135,431.48
  5. Step 5: Solve for x
    x = 222,135,431.48/16,478.44
  6. Step 6: Final answer
    x = 13,480.37

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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.