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Finding the Fourth Proportional to 21,967.82, 30,315.73 and 11,896.26

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Solution

The fourth proportional to 21,967.82, 30,315.73 and 11,896.26 is: 16,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.82 : 30,315.73 = 11,896.26 : x
  2. Step 2: Convert to fraction form
    21,967.82/30,315.73 = 11,896.26/x
  3. Step 3: Cross multiply
    21,967.82x = 30,315.73 × 11,896.26
  4. Step 4: Simplify right side
    21,967.82x = 360,643,835.91
  5. Step 5: Solve for x
    x = 360,643,835.91/21,967.82
  6. Step 6: Final answer
    x = 16,416.92

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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.