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Finding the Fourth Proportional to 13,185.81, 18,194.58 and 7,879.50

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Solution

The fourth proportional to 13,185.81, 18,194.58 and 7,879.50 is: 10,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.81 : 18,194.58 = 7,879.50 : x
  2. Step 2: Convert to fraction form
    13,185.81/18,194.58 = 7,879.50/x
  3. Step 3: Cross multiply
    13,185.81x = 18,194.58 × 7,879.50
  4. Step 4: Simplify right side
    13,185.81x = 143,364,193.11
  5. Step 5: Solve for x
    x = 143,364,193.11/13,185.81
  6. Step 6: Final answer
    x = 10,872.61

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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.