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Finding the Fourth Proportional to 12,288.49, 18,432.81 and 3,054.49

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Solution

The fourth proportional to 12,288.49, 18,432.81 and 3,054.49 is: 4,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.49 : 18,432.81 = 3,054.49 : x
  2. Step 2: Convert to fraction form
    12,288.49/18,432.81 = 3,054.49/x
  3. Step 3: Cross multiply
    12,288.49x = 18,432.81 × 3,054.49
  4. Step 4: Simplify right side
    12,288.49x = 56,302,861.25
  5. Step 5: Solve for x
    x = 56,302,861.25/12,288.49
  6. Step 6: Final answer
    x = 4,581.76

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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.