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Finding the Fourth Proportional to 13,180.10, 18,186.73 and 7,873.79

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Solution

The fourth proportional to 13,180.10, 18,186.73 and 7,873.79 is: 10,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.10 : 18,186.73 = 7,873.79 : x
  2. Step 2: Convert to fraction form
    13,180.10/18,186.73 = 7,873.79/x
  3. Step 3: Cross multiply
    13,180.10x = 18,186.73 × 7,873.79
  4. Step 4: Simplify right side
    13,180.10x = 143,198,401.87
  5. Step 5: Solve for x
    x = 143,198,401.87/13,180.10
  6. Step 6: Final answer
    x = 10,864.75

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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.