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Finding the Fourth Proportional to 11,419.85, 17,130.14 and 3,099.84

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Solution

The fourth proportional to 11,419.85, 17,130.14 and 3,099.84 is: 4,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.85 : 17,130.14 = 3,099.84 : x
  2. Step 2: Convert to fraction form
    11,419.85/17,130.14 = 3,099.84/x
  3. Step 3: Cross multiply
    11,419.85x = 17,130.14 × 3,099.84
  4. Step 4: Simplify right side
    11,419.85x = 53,100,677.68
  5. Step 5: Solve for x
    x = 53,100,677.68/11,419.85
  6. Step 6: Final answer
    x = 4,649.86

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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.