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Finding the Fourth Proportional to 12,689.28, 19,023.60 and 5,299.20

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Solution

The fourth proportional to 12,689.28, 19,023.60 and 5,299.20 is: 7,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.28 : 19,023.60 = 5,299.20 : x
  2. Step 2: Convert to fraction form
    12,689.28/19,023.60 = 5,299.20/x
  3. Step 3: Cross multiply
    12,689.28x = 19,023.60 × 5,299.20
  4. Step 4: Simplify right side
    12,689.28x = 100,809,861.12
  5. Step 5: Solve for x
    x = 100,809,861.12/12,689.28
  6. Step 6: Final answer
    x = 7,944.49

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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.