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Finding the Fourth Proportional to 21,286.36, 29,373.42 and 11,854

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Solution

The fourth proportional to 21,286.36, 29,373.42 and 11,854 is: 16,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.36 : 29,373.42 = 11,854 : x
  2. Step 2: Convert to fraction form
    21,286.36/29,373.42 = 11,854/x
  3. Step 3: Cross multiply
    21,286.36x = 29,373.42 × 11,854
  4. Step 4: Simplify right side
    21,286.36x = 348,192,520.68
  5. Step 5: Solve for x
    x = 348,192,520.68/21,286.36
  6. Step 6: Final answer
    x = 16,357.54

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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.