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Finding the Fourth Proportional to 13,238.42, 19,860.50 and 3,879.22

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Solution

The fourth proportional to 13,238.42, 19,860.50 and 3,879.22 is: 5,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.42 : 19,860.50 = 3,879.22 : x
  2. Step 2: Convert to fraction form
    13,238.42/19,860.50 = 3,879.22/x
  3. Step 3: Cross multiply
    13,238.42x = 19,860.50 × 3,879.22
  4. Step 4: Simplify right side
    13,238.42x = 77,043,248.81
  5. Step 5: Solve for x
    x = 77,043,248.81/13,238.42
  6. Step 6: Final answer
    x = 5,819.67

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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.