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Finding the Fourth Proportional to 19,027.44, 26,257.68 and 10,644

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Solution

The fourth proportional to 19,027.44, 26,257.68 and 10,644 is: 14,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,027.44 : 26,257.68 = 10,644 : x
  2. Step 2: Convert to fraction form
    19,027.44/26,257.68 = 10,644/x
  3. Step 3: Cross multiply
    19,027.44x = 26,257.68 × 10,644
  4. Step 4: Simplify right side
    19,027.44x = 279,486,745.92
  5. Step 5: Solve for x
    x = 279,486,745.92/19,027.44
  6. Step 6: Final answer
    x = 14,688.62

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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.