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Finding the Fourth Proportional to 13,180.93, 18,194.96 and 7,874.75

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Solution

The fourth proportional to 13,180.93, 18,194.96 and 7,874.75 is: 10,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.93 : 18,194.96 = 7,874.75 : x
  2. Step 2: Convert to fraction form
    13,180.93/18,194.96 = 7,874.75/x
  3. Step 3: Cross multiply
    13,180.93x = 18,194.96 × 7,874.75
  4. Step 4: Simplify right side
    13,180.93x = 143,280,826.43
  5. Step 5: Solve for x
    x = 143,280,826.43/13,180.93
  6. Step 6: Final answer
    x = 10,870.31

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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.