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Finding the Fourth Proportional to 13,814.33, 19,062.89 and 8,149.31

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Solution

The fourth proportional to 13,814.33, 19,062.89 and 8,149.31 is: 11,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.33 : 19,062.89 = 8,149.31 : x
  2. Step 2: Convert to fraction form
    13,814.33/19,062.89 = 8,149.31/x
  3. Step 3: Cross multiply
    13,814.33x = 19,062.89 × 8,149.31
  4. Step 4: Simplify right side
    13,814.33x = 155,349,400.11
  5. Step 5: Solve for x
    x = 155,349,400.11/13,814.33
  6. Step 6: Final answer
    x = 11,245.53

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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.