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Finding the Fourth Proportional to 12,288.12, 16,957.98 and 6,983.16

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Solution

The fourth proportional to 12,288.12, 16,957.98 and 6,983.16 is: 9,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.12 : 16,957.98 = 6,983.16 : x
  2. Step 2: Convert to fraction form
    12,288.12/16,957.98 = 6,983.16/x
  3. Step 3: Cross multiply
    12,288.12x = 16,957.98 × 6,983.16
  4. Step 4: Simplify right side
    12,288.12x = 118,420,287.62
  5. Step 5: Solve for x
    x = 118,420,287.62/12,288.12
  6. Step 6: Final answer
    x = 9,636.97

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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.