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Finding the Fourth Proportional to 12,311.66, 16,991.16 and 10,068.78

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Solution

The fourth proportional to 12,311.66, 16,991.16 and 10,068.78 is: 13,895.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.66 : 16,991.16 = 10,068.78 : x
  2. Step 2: Convert to fraction form
    12,311.66/16,991.16 = 10,068.78/x
  3. Step 3: Cross multiply
    12,311.66x = 16,991.16 × 10,068.78
  4. Step 4: Simplify right side
    12,311.66x = 171,080,251.98
  5. Step 5: Solve for x
    x = 171,080,251.98/12,311.66
  6. Step 6: Final answer
    x = 13,895.79

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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.