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Finding the Fourth Proportional to 13,236, 18,266.16 and 7,268.22

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Solution

The fourth proportional to 13,236, 18,266.16 and 7,268.22 is: 10,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236 : 18,266.16 = 7,268.22 : x
  2. Step 2: Convert to fraction form
    13,236/18,266.16 = 7,268.22/x
  3. Step 3: Cross multiply
    13,236x = 18,266.16 × 7,268.22
  4. Step 4: Simplify right side
    13,236x = 132,762,469.44
  5. Step 5: Solve for x
    x = 132,762,469.44/13,236
  6. Step 6: Final answer
    x = 10,030.41

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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.