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Finding the Fourth Proportional to 12,605.28, 18,901.44 and 5,676

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Solution

The fourth proportional to 12,605.28, 18,901.44 and 5,676 is: 8,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.28 : 18,901.44 = 5,676 : x
  2. Step 2: Convert to fraction form
    12,605.28/18,901.44 = 5,676/x
  3. Step 3: Cross multiply
    12,605.28x = 18,901.44 × 5,676
  4. Step 4: Simplify right side
    12,605.28x = 107,284,573.44
  5. Step 5: Solve for x
    x = 107,284,573.44/12,605.28
  6. Step 6: Final answer
    x = 8,511.08

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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.