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Finding the Fourth Proportional to 14,156.44, 21,209.22 and 7,909

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Solution

The fourth proportional to 14,156.44, 21,209.22 and 7,909 is: 11,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.44 : 21,209.22 = 7,909 : x
  2. Step 2: Convert to fraction form
    14,156.44/21,209.22 = 7,909/x
  3. Step 3: Cross multiply
    14,156.44x = 21,209.22 × 7,909
  4. Step 4: Simplify right side
    14,156.44x = 167,743,720.98
  5. Step 5: Solve for x
    x = 167,743,720.98/14,156.44
  6. Step 6: Final answer
    x = 11,849.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.