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Finding the Fourth Proportional to 28,157.28, 42,229.68 and 8,433.24

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Solution

The fourth proportional to 28,157.28, 42,229.68 and 8,433.24 is: 12,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.28 : 42,229.68 = 8,433.24 : x
  2. Step 2: Convert to fraction form
    28,157.28/42,229.68 = 8,433.24/x
  3. Step 3: Cross multiply
    28,157.28x = 42,229.68 × 8,433.24
  4. Step 4: Simplify right side
    28,157.28x = 356,133,026.56
  5. Step 5: Solve for x
    x = 356,133,026.56/28,157.28
  6. Step 6: Final answer
    x = 12,647.99

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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.