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Finding the Fourth Proportional to 12,299.36, 16,967.16 and 8,321.84

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Solution

The fourth proportional to 12,299.36, 16,967.16 and 8,321.84 is: 11,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.36 : 16,967.16 = 8,321.84 : x
  2. Step 2: Convert to fraction form
    12,299.36/16,967.16 = 8,321.84/x
  3. Step 3: Cross multiply
    12,299.36x = 16,967.16 × 8,321.84
  4. Step 4: Simplify right side
    12,299.36x = 141,197,990.77
  5. Step 5: Solve for x
    x = 141,197,990.77/12,299.36
  6. Step 6: Final answer
    x = 11,480.11

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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.