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Finding the Fourth Proportional to 21,167.40, 29,212.76 and 11,739

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Solution

The fourth proportional to 21,167.40, 29,212.76 and 11,739 is: 16,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.40 : 29,212.76 = 11,739 : x
  2. Step 2: Convert to fraction form
    21,167.40/29,212.76 = 11,739/x
  3. Step 3: Cross multiply
    21,167.40x = 29,212.76 × 11,739
  4. Step 4: Simplify right side
    21,167.40x = 342,928,589.64
  5. Step 5: Solve for x
    x = 342,928,589.64/21,167.40
  6. Step 6: Final answer
    x = 16,200.79

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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.