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Finding the Fourth Proportional to 12,048.13, 16,631.21 and 8,168.43

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Solution

The fourth proportional to 12,048.13, 16,631.21 and 8,168.43 is: 11,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.13 : 16,631.21 = 8,168.43 : x
  2. Step 2: Convert to fraction form
    12,048.13/16,631.21 = 8,168.43/x
  3. Step 3: Cross multiply
    12,048.13x = 16,631.21 × 8,168.43
  4. Step 4: Simplify right side
    12,048.13x = 135,850,957.49
  5. Step 5: Solve for x
    x = 135,850,957.49/12,048.13
  6. Step 6: Final answer
    x = 11,275.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.