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Finding the Fourth Proportional to 21,086, 29,098.56 and 11,525.78

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Solution

The fourth proportional to 21,086, 29,098.56 and 11,525.78 is: 15,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086 : 29,098.56 = 11,525.78 : x
  2. Step 2: Convert to fraction form
    21,086/29,098.56 = 11,525.78/x
  3. Step 3: Cross multiply
    21,086x = 29,098.56 × 11,525.78
  4. Step 4: Simplify right side
    21,086x = 335,383,600.88
  5. Step 5: Solve for x
    x = 335,383,600.88/21,086
  6. Step 6: Final answer
    x = 15,905.51

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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.