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Finding the Fourth Proportional to 21,222.75, 29,290.64 and 12,844.11

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Solution

The fourth proportional to 21,222.75, 29,290.64 and 12,844.11 is: 17,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.75 : 29,290.64 = 12,844.11 : x
  2. Step 2: Convert to fraction form
    21,222.75/29,290.64 = 12,844.11/x
  3. Step 3: Cross multiply
    21,222.75x = 29,290.64 × 12,844.11
  4. Step 4: Simplify right side
    21,222.75x = 376,212,137.91
  5. Step 5: Solve for x
    x = 376,212,137.91/21,222.75
  6. Step 6: Final answer
    x = 17,726.83

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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.