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Finding the Fourth Proportional to 11,953.14, 17,892.72 and 10,181.68

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Solution

The fourth proportional to 11,953.14, 17,892.72 and 10,181.68 is: 15,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.14 : 17,892.72 = 10,181.68 : x
  2. Step 2: Convert to fraction form
    11,953.14/17,892.72 = 10,181.68/x
  3. Step 3: Cross multiply
    11,953.14x = 17,892.72 × 10,181.68
  4. Step 4: Simplify right side
    11,953.14x = 182,177,949.37
  5. Step 5: Solve for x
    x = 182,177,949.37/11,953.14
  6. Step 6: Final answer
    x = 15,241.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.