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Finding the Fourth Proportional to 13,991.27, 19,309.80 and 8,021.78

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Solution

The fourth proportional to 13,991.27, 19,309.80 and 8,021.78 is: 11,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.27 : 19,309.80 = 8,021.78 : x
  2. Step 2: Convert to fraction form
    13,991.27/19,309.80 = 8,021.78/x
  3. Step 3: Cross multiply
    13,991.27x = 19,309.80 × 8,021.78
  4. Step 4: Simplify right side
    13,991.27x = 154,898,870.90
  5. Step 5: Solve for x
    x = 154,898,870.90/13,991.27
  6. Step 6: Final answer
    x = 11,071.11

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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.