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Finding the Fourth Proportional to 21,213.98, 29,274.86 and 11,782.22

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Solution

The fourth proportional to 21,213.98, 29,274.86 and 11,782.22 is: 16,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.98 : 29,274.86 = 11,782.22 : x
  2. Step 2: Convert to fraction form
    21,213.98/29,274.86 = 11,782.22/x
  3. Step 3: Cross multiply
    21,213.98x = 29,274.86 × 11,782.22
  4. Step 4: Simplify right side
    21,213.98x = 344,922,840.99
  5. Step 5: Solve for x
    x = 344,922,840.99/21,213.98
  6. Step 6: Final answer
    x = 16,259.22

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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.