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Finding the Fourth Proportional to 12,233.64, 18,351.74 and 4,026.28

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Solution

The fourth proportional to 12,233.64, 18,351.74 and 4,026.28 is: 6,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.64 : 18,351.74 = 4,026.28 : x
  2. Step 2: Convert to fraction form
    12,233.64/18,351.74 = 4,026.28/x
  3. Step 3: Cross multiply
    12,233.64x = 18,351.74 × 4,026.28
  4. Step 4: Simplify right side
    12,233.64x = 73,889,243.73
  5. Step 5: Solve for x
    x = 73,889,243.73/12,233.64
  6. Step 6: Final answer
    x = 6,039.84

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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.