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Finding the Fourth Proportional to 12,230.76, 18,347.28 and 3,797.32

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Solution

The fourth proportional to 12,230.76, 18,347.28 and 3,797.32 is: 5,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.76 : 18,347.28 = 3,797.32 : x
  2. Step 2: Convert to fraction form
    12,230.76/18,347.28 = 3,797.32/x
  3. Step 3: Cross multiply
    12,230.76x = 18,347.28 × 3,797.32
  4. Step 4: Simplify right side
    12,230.76x = 69,670,493.29
  5. Step 5: Solve for x
    x = 69,670,493.29/12,230.76
  6. Step 6: Final answer
    x = 5,696.33

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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.