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Finding the Fourth Proportional to 11,950.14, 17,919 and 4,157.22

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Solution

The fourth proportional to 11,950.14, 17,919 and 4,157.22 is: 6,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.14 : 17,919 = 4,157.22 : x
  2. Step 2: Convert to fraction form
    11,950.14/17,919 = 4,157.22/x
  3. Step 3: Cross multiply
    11,950.14x = 17,919 × 4,157.22
  4. Step 4: Simplify right side
    11,950.14x = 74,493,225.18
  5. Step 5: Solve for x
    x = 74,493,225.18/11,950.14
  6. Step 6: Final answer
    x = 6,233.67

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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.