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Finding the Fourth Proportional to 12,694.25, 19,045.87 and 5,673.65

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Solution

The fourth proportional to 12,694.25, 19,045.87 and 5,673.65 is: 8,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.25 : 19,045.87 = 5,673.65 : x
  2. Step 2: Convert to fraction form
    12,694.25/19,045.87 = 5,673.65/x
  3. Step 3: Cross multiply
    12,694.25x = 19,045.87 × 5,673.65
  4. Step 4: Simplify right side
    12,694.25x = 108,059,490.91
  5. Step 5: Solve for x
    x = 108,059,490.91/12,694.25
  6. Step 6: Final answer
    x = 8,512.47

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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.