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Finding the Fourth Proportional to 21,576, 29,787.84 and 14,136.96

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Solution

The fourth proportional to 21,576, 29,787.84 and 14,136.96 is: 19,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,576 : 29,787.84 = 14,136.96 : x
  2. Step 2: Convert to fraction form
    21,576/29,787.84 = 14,136.96/x
  3. Step 3: Cross multiply
    21,576x = 29,787.84 × 14,136.96
  4. Step 4: Simplify right side
    21,576x = 421,109,502.57
  5. Step 5: Solve for x
    x = 421,109,502.57/21,576
  6. Step 6: Final answer
    x = 19,517.50

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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.