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Finding the Fourth Proportional to 12,846.82, 19,271.76 and 5,450.30

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Solution

The fourth proportional to 12,846.82, 19,271.76 and 5,450.30 is: 8,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.82 : 19,271.76 = 5,450.30 : x
  2. Step 2: Convert to fraction form
    12,846.82/19,271.76 = 5,450.30/x
  3. Step 3: Cross multiply
    12,846.82x = 19,271.76 × 5,450.30
  4. Step 4: Simplify right side
    12,846.82x = 105,036,873.53
  5. Step 5: Solve for x
    x = 105,036,873.53/12,846.82
  6. Step 6: Final answer
    x = 8,176.10

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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.