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Finding the Fourth Proportional to 13,871.65, 19,141.40 and 8,206.61

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Solution

The fourth proportional to 13,871.65, 19,141.40 and 8,206.61 is: 11,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.65 : 19,141.40 = 8,206.61 : x
  2. Step 2: Convert to fraction form
    13,871.65/19,141.40 = 8,206.61/x
  3. Step 3: Cross multiply
    13,871.65x = 19,141.40 × 8,206.61
  4. Step 4: Simplify right side
    13,871.65x = 157,086,004.65
  5. Step 5: Solve for x
    x = 157,086,004.65/13,871.65
  6. Step 6: Final answer
    x = 11,324.25

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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.