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Finding the Fourth Proportional to 21,986, 30,340.68 and 12,050

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Solution

The fourth proportional to 21,986, 30,340.68 and 12,050 is: 16,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986 : 30,340.68 = 12,050 : x
  2. Step 2: Convert to fraction form
    21,986/30,340.68 = 12,050/x
  3. Step 3: Cross multiply
    21,986x = 30,340.68 × 12,050
  4. Step 4: Simplify right side
    21,986x = 365,605,194
  5. Step 5: Solve for x
    x = 365,605,194/21,986
  6. Step 6: Final answer
    x = 16,629

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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.