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Finding the Fourth Proportional to 20,735.90, 28,616.84 and 11,780

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Solution

The fourth proportional to 20,735.90, 28,616.84 and 11,780 is: 16,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.90 : 28,616.84 = 11,780 : x
  2. Step 2: Convert to fraction form
    20,735.90/28,616.84 = 11,780/x
  3. Step 3: Cross multiply
    20,735.90x = 28,616.84 × 11,780
  4. Step 4: Simplify right side
    20,735.90x = 337,106,375.20
  5. Step 5: Solve for x
    x = 337,106,375.20/20,735.90
  6. Step 6: Final answer
    x = 16,257.14

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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.