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Finding the Fourth Proportional to 13,819.82, 19,064.16 and 8,775.41

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Solution

The fourth proportional to 13,819.82, 19,064.16 and 8,775.41 is: 12,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.82 : 19,064.16 = 8,775.41 : x
  2. Step 2: Convert to fraction form
    13,819.82/19,064.16 = 8,775.41/x
  3. Step 3: Cross multiply
    13,819.82x = 19,064.16 × 8,775.41
  4. Step 4: Simplify right side
    13,819.82x = 167,295,724.98
  5. Step 5: Solve for x
    x = 167,295,724.98/13,819.82
  6. Step 6: Final answer
    x = 12,105.50

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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.