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Finding the Fourth Proportional to 13,953.54, 19,257.24 and 7,986.06

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Solution

The fourth proportional to 13,953.54, 19,257.24 and 7,986.06 is: 11,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.54 : 19,257.24 = 7,986.06 : x
  2. Step 2: Convert to fraction form
    13,953.54/19,257.24 = 7,986.06/x
  3. Step 3: Cross multiply
    13,953.54x = 19,257.24 × 7,986.06
  4. Step 4: Simplify right side
    13,953.54x = 153,789,474.07
  5. Step 5: Solve for x
    x = 153,789,474.07/13,953.54
  6. Step 6: Final answer
    x = 11,021.54

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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.