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Finding the Fourth Proportional to 13,751.09, 18,975.67 and 8,086.84

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Solution

The fourth proportional to 13,751.09, 18,975.67 and 8,086.84 is: 11,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.09 : 18,975.67 = 8,086.84 : x
  2. Step 2: Convert to fraction form
    13,751.09/18,975.67 = 8,086.84/x
  3. Step 3: Cross multiply
    13,751.09x = 18,975.67 × 8,086.84
  4. Step 4: Simplify right side
    13,751.09x = 153,453,139.53
  5. Step 5: Solve for x
    x = 153,453,139.53/13,751.09
  6. Step 6: Final answer
    x = 11,159.34

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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.