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Finding the Fourth Proportional to 13,796.16, 20,675.60 and 9,892

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Solution

The fourth proportional to 13,796.16, 20,675.60 and 9,892 is: 14,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.16 : 20,675.60 = 9,892 : x
  2. Step 2: Convert to fraction form
    13,796.16/20,675.60 = 9,892/x
  3. Step 3: Cross multiply
    13,796.16x = 20,675.60 × 9,892
  4. Step 4: Simplify right side
    13,796.16x = 204,523,035.20
  5. Step 5: Solve for x
    x = 204,523,035.20/13,796.16
  6. Step 6: Final answer
    x = 14,824.63

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Why These Related Problems?

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