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Finding the Fourth Proportional to 12,847.69, 19,274.24 and 5,451.99

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Solution

The fourth proportional to 12,847.69, 19,274.24 and 5,451.99 is: 8,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.69 : 19,274.24 = 5,451.99 : x
  2. Step 2: Convert to fraction form
    12,847.69/19,274.24 = 5,451.99/x
  3. Step 3: Cross multiply
    12,847.69x = 19,274.24 × 5,451.99
  4. Step 4: Simplify right side
    12,847.69x = 105,082,963.74
  5. Step 5: Solve for x
    x = 105,082,963.74/12,847.69
  6. Step 6: Final answer
    x = 8,179.13

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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.