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Finding the Fourth Proportional to 12,896.82, 17,807.85 and 10,370.84

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Solution

The fourth proportional to 12,896.82, 17,807.85 and 10,370.84 is: 14,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.82 : 17,807.85 = 10,370.84 : x
  2. Step 2: Convert to fraction form
    12,896.82/17,807.85 = 10,370.84/x
  3. Step 3: Cross multiply
    12,896.82x = 17,807.85 × 10,370.84
  4. Step 4: Simplify right side
    12,896.82x = 184,682,274.05
  5. Step 5: Solve for x
    x = 184,682,274.05/12,896.82
  6. Step 6: Final answer
    x = 14,319.99

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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.