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Finding the Fourth Proportional to 21,378.56, 29,502.42 and 11,947.13

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Solution

The fourth proportional to 21,378.56, 29,502.42 and 11,947.13 is: 16,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.56 : 29,502.42 = 11,947.13 : x
  2. Step 2: Convert to fraction form
    21,378.56/29,502.42 = 11,947.13/x
  3. Step 3: Cross multiply
    21,378.56x = 29,502.42 × 11,947.13
  4. Step 4: Simplify right side
    21,378.56x = 352,469,054.74
  5. Step 5: Solve for x
    x = 352,469,054.74/21,378.56
  6. Step 6: Final answer
    x = 16,487.03

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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.