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Finding the Fourth Proportional to 14,136.75, 21,205.17 and 4,902.75

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Solution

The fourth proportional to 14,136.75, 21,205.17 and 4,902.75 is: 7,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.75 : 21,205.17 = 4,902.75 : x
  2. Step 2: Convert to fraction form
    14,136.75/21,205.17 = 4,902.75/x
  3. Step 3: Cross multiply
    14,136.75x = 21,205.17 × 4,902.75
  4. Step 4: Simplify right side
    14,136.75x = 103,963,647.22
  5. Step 5: Solve for x
    x = 103,963,647.22/14,136.75
  6. Step 6: Final answer
    x = 7,354.14

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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.