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Finding the Fourth Proportional to 14,136.82, 21,204.31 and 5,371.50

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Solution

The fourth proportional to 14,136.82, 21,204.31 and 5,371.50 is: 8,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.82 : 21,204.31 = 5,371.50 : x
  2. Step 2: Convert to fraction form
    14,136.82/21,204.31 = 5,371.50/x
  3. Step 3: Cross multiply
    14,136.82x = 21,204.31 × 5,371.50
  4. Step 4: Simplify right side
    14,136.82x = 113,898,951.17
  5. Step 5: Solve for x
    x = 113,898,951.17/14,136.82
  6. Step 6: Final answer
    x = 8,056.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.