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Finding the Fourth Proportional to 13,459.88, 20,190.86 and 4,100.70

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Solution

The fourth proportional to 13,459.88, 20,190.86 and 4,100.70 is: 6,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.88 : 20,190.86 = 4,100.70 : x
  2. Step 2: Convert to fraction form
    13,459.88/20,190.86 = 4,100.70/x
  3. Step 3: Cross multiply
    13,459.88x = 20,190.86 × 4,100.70
  4. Step 4: Simplify right side
    13,459.88x = 82,796,659.60
  5. Step 5: Solve for x
    x = 82,796,659.60/13,459.88
  6. Step 6: Final answer
    x = 6,151.37

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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.