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Finding the Fourth Proportional to 12,691.69, 19,042.05 and 5,671.06

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Solution

The fourth proportional to 12,691.69, 19,042.05 and 5,671.06 is: 8,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.69 : 19,042.05 = 5,671.06 : x
  2. Step 2: Convert to fraction form
    12,691.69/19,042.05 = 5,671.06/x
  3. Step 3: Cross multiply
    12,691.69x = 19,042.05 × 5,671.06
  4. Step 4: Simplify right side
    12,691.69x = 107,988,608.07
  5. Step 5: Solve for x
    x = 107,988,608.07/12,691.69
  6. Step 6: Final answer
    x = 8,508.61

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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.