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Finding the Fourth Proportional to 21,406.24, 29,541 and 11,974.60

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Solution

The fourth proportional to 21,406.24, 29,541 and 11,974.60 is: 16,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.24 : 29,541 = 11,974.60 : x
  2. Step 2: Convert to fraction form
    21,406.24/29,541 = 11,974.60/x
  3. Step 3: Cross multiply
    21,406.24x = 29,541 × 11,974.60
  4. Step 4: Simplify right side
    21,406.24x = 353,741,658.60
  5. Step 5: Solve for x
    x = 353,741,658.60/21,406.24
  6. Step 6: Final answer
    x = 16,525.17

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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.