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Finding the Fourth Proportional to 13,023.99, 19,539.63 and 5,238.27

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Solution

The fourth proportional to 13,023.99, 19,539.63 and 5,238.27 is: 7,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.99 : 19,539.63 = 5,238.27 : x
  2. Step 2: Convert to fraction form
    13,023.99/19,539.63 = 5,238.27/x
  3. Step 3: Cross multiply
    13,023.99x = 19,539.63 × 5,238.27
  4. Step 4: Simplify right side
    13,023.99x = 102,353,857.64
  5. Step 5: Solve for x
    x = 102,353,857.64/13,023.99
  6. Step 6: Final answer
    x = 7,858.87

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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.