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Finding the Fourth Proportional to 22,205.80, 30,644.44 and 12,774.96

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Solution

The fourth proportional to 22,205.80, 30,644.44 and 12,774.96 is: 17,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.80 : 30,644.44 = 12,774.96 : x
  2. Step 2: Convert to fraction form
    22,205.80/30,644.44 = 12,774.96/x
  3. Step 3: Cross multiply
    22,205.80x = 30,644.44 × 12,774.96
  4. Step 4: Simplify right side
    22,205.80x = 391,481,495.22
  5. Step 5: Solve for x
    x = 391,481,495.22/22,205.80
  6. Step 6: Final answer
    x = 17,629.70

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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.