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Finding the Fourth Proportional to 13,459.86, 20,189.79 and 4,099.86

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Solution

The fourth proportional to 13,459.86, 20,189.79 and 4,099.86 is: 6,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.86 : 20,189.79 = 4,099.86 : x
  2. Step 2: Convert to fraction form
    13,459.86/20,189.79 = 4,099.86/x
  3. Step 3: Cross multiply
    13,459.86x = 20,189.79 × 4,099.86
  4. Step 4: Simplify right side
    13,459.86x = 82,775,312.43
  5. Step 5: Solve for x
    x = 82,775,312.43/13,459.86
  6. Step 6: Final answer
    x = 6,149.79

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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.