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Finding the Fourth Proportional to 12,230.40, 16,853.73 and 8,683.68

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Solution

The fourth proportional to 12,230.40, 16,853.73 and 8,683.68 is: 11,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.40 : 16,853.73 = 8,683.68 : x
  2. Step 2: Convert to fraction form
    12,230.40/16,853.73 = 8,683.68/x
  3. Step 3: Cross multiply
    12,230.40x = 16,853.73 × 8,683.68
  4. Step 4: Simplify right side
    12,230.40x = 146,352,398.13
  5. Step 5: Solve for x
    x = 146,352,398.13/12,230.40
  6. Step 6: Final answer
    x = 11,966.28

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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.