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Finding the Fourth Proportional to 12,648.29, 18,976.10 and 3,884.49

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Solution

The fourth proportional to 12,648.29, 18,976.10 and 3,884.49 is: 5,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.29 : 18,976.10 = 3,884.49 : x
  2. Step 2: Convert to fraction form
    12,648.29/18,976.10 = 3,884.49/x
  3. Step 3: Cross multiply
    12,648.29x = 18,976.10 × 3,884.49
  4. Step 4: Simplify right side
    12,648.29x = 73,712,451.27
  5. Step 5: Solve for x
    x = 73,712,451.27/12,648.29
  6. Step 6: Final answer
    x = 5,827.86

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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.