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Finding the Fourth Proportional to 21,322.68, 31,963.37 and 11,967.18

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Solution

The fourth proportional to 21,322.68, 31,963.37 and 11,967.18 is: 17,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.68 : 31,963.37 = 11,967.18 : x
  2. Step 2: Convert to fraction form
    21,322.68/31,963.37 = 11,967.18/x
  3. Step 3: Cross multiply
    21,322.68x = 31,963.37 × 11,967.18
  4. Step 4: Simplify right side
    21,322.68x = 382,511,342.36
  5. Step 5: Solve for x
    x = 382,511,342.36/21,322.68
  6. Step 6: Final answer
    x = 17,939.18

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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.