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Finding the Fourth Proportional to 12,846.80, 19,271.10 and 5,450.42

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Solution

The fourth proportional to 12,846.80, 19,271.10 and 5,450.42 is: 8,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.80 : 19,271.10 = 5,450.42 : x
  2. Step 2: Convert to fraction form
    12,846.80/19,271.10 = 5,450.42/x
  3. Step 3: Cross multiply
    12,846.80x = 19,271.10 × 5,450.42
  4. Step 4: Simplify right side
    12,846.80x = 105,035,588.86
  5. Step 5: Solve for x
    x = 105,035,588.86/12,846.80
  6. Step 6: Final answer
    x = 8,176.01

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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.