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Finding the Fourth Proportional to 21,189.10, 29,243.12 and 11,757.72

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Solution

The fourth proportional to 21,189.10, 29,243.12 and 11,757.72 is: 16,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.10 : 29,243.12 = 11,757.72 : x
  2. Step 2: Convert to fraction form
    21,189.10/29,243.12 = 11,757.72/x
  3. Step 3: Cross multiply
    21,189.10x = 29,243.12 × 11,757.72
  4. Step 4: Simplify right side
    21,189.10x = 343,832,416.89
  5. Step 5: Solve for x
    x = 343,832,416.89/21,189.10
  6. Step 6: Final answer
    x = 16,226.85

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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.