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Finding the Fourth Proportional to 16,266.36, 24,394.70 and 6,906.24

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Solution

The fourth proportional to 16,266.36, 24,394.70 and 6,906.24 is: 10,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.36 : 24,394.70 = 6,906.24 : x
  2. Step 2: Convert to fraction form
    16,266.36/24,394.70 = 6,906.24/x
  3. Step 3: Cross multiply
    16,266.36x = 24,394.70 × 6,906.24
  4. Step 4: Simplify right side
    16,266.36x = 168,475,652.93
  5. Step 5: Solve for x
    x = 168,475,652.93/16,266.36
  6. Step 6: Final answer
    x = 10,357.31

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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.