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Finding the Fourth Proportional to 12,643.92, 18,976.82 and 8,266.68

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Solution

The fourth proportional to 12,643.92, 18,976.82 and 8,266.68 is: 12,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.92 : 18,976.82 = 8,266.68 : x
  2. Step 2: Convert to fraction form
    12,643.92/18,976.82 = 8,266.68/x
  3. Step 3: Cross multiply
    12,643.92x = 18,976.82 × 8,266.68
  4. Step 4: Simplify right side
    12,643.92x = 156,875,257.02
  5. Step 5: Solve for x
    x = 156,875,257.02/12,643.92
  6. Step 6: Final answer
    x = 12,407.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.