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Finding the Fourth Proportional to 21,491.70, 29,648.34 and 13,940.46

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Solution

The fourth proportional to 21,491.70, 29,648.34 and 13,940.46 is: 19,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.70 : 29,648.34 = 13,940.46 : x
  2. Step 2: Convert to fraction form
    21,491.70/29,648.34 = 13,940.46/x
  3. Step 3: Cross multiply
    21,491.70x = 29,648.34 × 13,940.46
  4. Step 4: Simplify right side
    21,491.70x = 413,311,497.84
  5. Step 5: Solve for x
    x = 413,311,497.84/21,491.70
  6. Step 6: Final answer
    x = 19,231.21

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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.