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Finding the Fourth Proportional to 13,892.58, 20,824.29 and 5,121.90

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Solution

The fourth proportional to 13,892.58, 20,824.29 and 5,121.90 is: 7,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.58 : 20,824.29 = 5,121.90 : x
  2. Step 2: Convert to fraction form
    13,892.58/20,824.29 = 5,121.90/x
  3. Step 3: Cross multiply
    13,892.58x = 20,824.29 × 5,121.90
  4. Step 4: Simplify right side
    13,892.58x = 106,659,930.95
  5. Step 5: Solve for x
    x = 106,659,930.95/13,892.58
  6. Step 6: Final answer
    x = 7,677.47

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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.