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Finding the Fourth Proportional to 12,288.78, 18,433.18 and 3,054.78

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Solution

The fourth proportional to 12,288.78, 18,433.18 and 3,054.78 is: 4,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.78 : 18,433.18 = 3,054.78 : x
  2. Step 2: Convert to fraction form
    12,288.78/18,433.18 = 3,054.78/x
  3. Step 3: Cross multiply
    12,288.78x = 18,433.18 × 3,054.78
  4. Step 4: Simplify right side
    12,288.78x = 56,309,202.16
  5. Step 5: Solve for x
    x = 56,309,202.16/12,288.78
  6. Step 6: Final answer
    x = 4,582.17

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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.