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Finding the Fourth Proportional to 14,309.85, 19,747.80 and 8,022.27

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Solution

The fourth proportional to 14,309.85, 19,747.80 and 8,022.27 is: 11,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.85 : 19,747.80 = 8,022.27 : x
  2. Step 2: Convert to fraction form
    14,309.85/19,747.80 = 8,022.27/x
  3. Step 3: Cross multiply
    14,309.85x = 19,747.80 × 8,022.27
  4. Step 4: Simplify right side
    14,309.85x = 158,422,183.51
  5. Step 5: Solve for x
    x = 158,422,183.51/14,309.85
  6. Step 6: Final answer
    x = 11,070.85

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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.