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Finding the Fourth Proportional to 12,846.50, 19,269.90 and 5,049.84

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Solution

The fourth proportional to 12,846.50, 19,269.90 and 5,049.84 is: 7,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.50 : 19,269.90 = 5,049.84 : x
  2. Step 2: Convert to fraction form
    12,846.50/19,269.90 = 5,049.84/x
  3. Step 3: Cross multiply
    12,846.50x = 19,269.90 × 5,049.84
  4. Step 4: Simplify right side
    12,846.50x = 97,309,984.08
  5. Step 5: Solve for x
    x = 97,309,984.08/12,846.50
  6. Step 6: Final answer
    x = 7,574.83

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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.