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Finding the Fourth Proportional to 27,922.64, 38,531.22 and 16,591.64

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Solution

The fourth proportional to 27,922.64, 38,531.22 and 16,591.64 is: 22,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.64 : 38,531.22 = 16,591.64 : x
  2. Step 2: Convert to fraction form
    27,922.64/38,531.22 = 16,591.64/x
  3. Step 3: Cross multiply
    27,922.64x = 38,531.22 × 16,591.64
  4. Step 4: Simplify right side
    27,922.64x = 639,296,131.00
  5. Step 5: Solve for x
    x = 639,296,131.00/27,922.64
  6. Step 6: Final answer
    x = 22,895.26

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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.