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Finding the Fourth Proportional to 12,493.40, 17,239.24 and 8,023.21

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Solution

The fourth proportional to 12,493.40, 17,239.24 and 8,023.21 is: 11,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.40 : 17,239.24 = 8,023.21 : x
  2. Step 2: Convert to fraction form
    12,493.40/17,239.24 = 8,023.21/x
  3. Step 3: Cross multiply
    12,493.40x = 17,239.24 × 8,023.21
  4. Step 4: Simplify right side
    12,493.40x = 138,313,996.88
  5. Step 5: Solve for x
    x = 138,313,996.88/12,493.40
  6. Step 6: Final answer
    x = 11,070.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.