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Finding the Fourth Proportional to 13,615.70, 18,782.99 and 8,301.29

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Solution

The fourth proportional to 13,615.70, 18,782.99 and 8,301.29 is: 11,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.70 : 18,782.99 = 8,301.29 : x
  2. Step 2: Convert to fraction form
    13,615.70/18,782.99 = 8,301.29/x
  3. Step 3: Cross multiply
    13,615.70x = 18,782.99 × 8,301.29
  4. Step 4: Simplify right side
    13,615.70x = 155,922,942.77
  5. Step 5: Solve for x
    x = 155,922,942.77/13,615.70
  6. Step 6: Final answer
    x = 11,451.71

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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.