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Finding the Fourth Proportional to 21,241.68, 31,866.78 and 11,894.99

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Solution

The fourth proportional to 21,241.68, 31,866.78 and 11,894.99 is: 17,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.68 : 31,866.78 = 11,894.99 : x
  2. Step 2: Convert to fraction form
    21,241.68/31,866.78 = 11,894.99/x
  3. Step 3: Cross multiply
    21,241.68x = 31,866.78 × 11,894.99
  4. Step 4: Simplify right side
    21,241.68x = 379,054,969.96
  5. Step 5: Solve for x
    x = 379,054,969.96/21,241.68
  6. Step 6: Final answer
    x = 17,844.87

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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.