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Finding the Fourth Proportional to 21,145.44, 31,716.30 and 12,823

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Solution

The fourth proportional to 21,145.44, 31,716.30 and 12,823 is: 19,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.44 : 31,716.30 = 12,823 : x
  2. Step 2: Convert to fraction form
    21,145.44/31,716.30 = 12,823/x
  3. Step 3: Cross multiply
    21,145.44x = 31,716.30 × 12,823
  4. Step 4: Simplify right side
    21,145.44x = 406,698,114.90
  5. Step 5: Solve for x
    x = 406,698,114.90/21,145.44
  6. Step 6: Final answer
    x = 19,233.37

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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.