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Finding the Fourth Proportional to 16,365, 24,546.96 and 5,272.32

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Solution

The fourth proportional to 16,365, 24,546.96 and 5,272.32 is: 7,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365 : 24,546.96 = 5,272.32 : x
  2. Step 2: Convert to fraction form
    16,365/24,546.96 = 5,272.32/x
  3. Step 3: Cross multiply
    16,365x = 24,546.96 × 5,272.32
  4. Step 4: Simplify right side
    16,365x = 129,419,428.15
  5. Step 5: Solve for x
    x = 129,419,428.15/16,365
  6. Step 6: Final answer
    x = 7,908.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.