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Finding the Fourth Proportional to 12,846.30, 19,270.35 and 5,449.92

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Solution

The fourth proportional to 12,846.30, 19,270.35 and 5,449.92 is: 8,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.30 : 19,270.35 = 5,449.92 : x
  2. Step 2: Convert to fraction form
    12,846.30/19,270.35 = 5,449.92/x
  3. Step 3: Cross multiply
    12,846.30x = 19,270.35 × 5,449.92
  4. Step 4: Simplify right side
    12,846.30x = 105,021,865.87
  5. Step 5: Solve for x
    x = 105,021,865.87/12,846.30
  6. Step 6: Final answer
    x = 8,175.26

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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.