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Finding the Fourth Proportional to 13,026.14, 19,540.04 and 5,234.94

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Solution

The fourth proportional to 13,026.14, 19,540.04 and 5,234.94 is: 7,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.14 : 19,540.04 = 5,234.94 : x
  2. Step 2: Convert to fraction form
    13,026.14/19,540.04 = 5,234.94/x
  3. Step 3: Cross multiply
    13,026.14x = 19,540.04 × 5,234.94
  4. Step 4: Simplify right side
    13,026.14x = 102,290,910.82
  5. Step 5: Solve for x
    x = 102,290,910.82/13,026.14
  6. Step 6: Final answer
    x = 7,852.74

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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.