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Finding the Fourth Proportional to 12,896.32, 19,370.40 and 11,269.84

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Solution

The fourth proportional to 12,896.32, 19,370.40 and 11,269.84 is: 16,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.32 : 19,370.40 = 11,269.84 : x
  2. Step 2: Convert to fraction form
    12,896.32/19,370.40 = 11,269.84/x
  3. Step 3: Cross multiply
    12,896.32x = 19,370.40 × 11,269.84
  4. Step 4: Simplify right side
    12,896.32x = 218,301,308.74
  5. Step 5: Solve for x
    x = 218,301,308.74/12,896.32
  6. Step 6: Final answer
    x = 16,927.41

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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.