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Finding the Fourth Proportional to 12,974.72, 19,468.42 and 8,043.04

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Solution

The fourth proportional to 12,974.72, 19,468.42 and 8,043.04 is: 12,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.72 : 19,468.42 = 8,043.04 : x
  2. Step 2: Convert to fraction form
    12,974.72/19,468.42 = 8,043.04/x
  3. Step 3: Cross multiply
    12,974.72x = 19,468.42 × 8,043.04
  4. Step 4: Simplify right side
    12,974.72x = 156,585,280.80
  5. Step 5: Solve for x
    x = 156,585,280.80/12,974.72
  6. Step 6: Final answer
    x = 12,068.49

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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.