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Finding the Fourth Proportional to 13,023.82, 19,536.65 and 6,448.24

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Solution

The fourth proportional to 13,023.82, 19,536.65 and 6,448.24 is: 9,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.82 : 19,536.65 = 6,448.24 : x
  2. Step 2: Convert to fraction form
    13,023.82/19,536.65 = 6,448.24/x
  3. Step 3: Cross multiply
    13,023.82x = 19,536.65 × 6,448.24
  4. Step 4: Simplify right side
    13,023.82x = 125,977,008.00
  5. Step 5: Solve for x
    x = 125,977,008.00/13,023.82
  6. Step 6: Final answer
    x = 9,672.82

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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.