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Finding the Fourth Proportional to 12,805.98, 19,158.28 and 9,694.96

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Solution

The fourth proportional to 12,805.98, 19,158.28 and 9,694.96 is: 14,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.98 : 19,158.28 = 9,694.96 : x
  2. Step 2: Convert to fraction form
    12,805.98/19,158.28 = 9,694.96/x
  3. Step 3: Cross multiply
    12,805.98x = 19,158.28 × 9,694.96
  4. Step 4: Simplify right side
    12,805.98x = 185,738,758.27
  5. Step 5: Solve for x
    x = 185,738,758.27/12,805.98
  6. Step 6: Final answer
    x = 14,504.06

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