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Finding the Fourth Proportional to 21,188.64, 29,240.34 and 11,757.21

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Solution

The fourth proportional to 21,188.64, 29,240.34 and 11,757.21 is: 16,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.64 : 29,240.34 = 11,757.21 : x
  2. Step 2: Convert to fraction form
    21,188.64/29,240.34 = 11,757.21/x
  3. Step 3: Cross multiply
    21,188.64x = 29,240.34 × 11,757.21
  4. Step 4: Simplify right side
    21,188.64x = 343,784,817.85
  5. Step 5: Solve for x
    x = 343,784,817.85/21,188.64
  6. Step 6: Final answer
    x = 16,224.96

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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.