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Finding the Fourth Proportional to 11,913.68, 17,868.17 and 4,015.42

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Solution

The fourth proportional to 11,913.68, 17,868.17 and 4,015.42 is: 6,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.68 : 17,868.17 = 4,015.42 : x
  2. Step 2: Convert to fraction form
    11,913.68/17,868.17 = 4,015.42/x
  3. Step 3: Cross multiply
    11,913.68x = 17,868.17 × 4,015.42
  4. Step 4: Simplify right side
    11,913.68x = 71,748,172.55
  5. Step 5: Solve for x
    x = 71,748,172.55/11,913.68
  6. Step 6: Final answer
    x = 6,022.33

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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.