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Finding the Fourth Proportional to 16,266.36, 24,382.90 and 9,231.50

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Solution

The fourth proportional to 16,266.36, 24,382.90 and 9,231.50 is: 13,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.36 : 24,382.90 = 9,231.50 : x
  2. Step 2: Convert to fraction form
    16,266.36/24,382.90 = 9,231.50/x
  3. Step 3: Cross multiply
    16,266.36x = 24,382.90 × 9,231.50
  4. Step 4: Simplify right side
    16,266.36x = 225,090,741.35
  5. Step 5: Solve for x
    x = 225,090,741.35/16,266.36
  6. Step 6: Final answer
    x = 13,837.81

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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.