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Finding the Fourth Proportional to 15,846.14, 21,872.54 and 9,136.25

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Solution

The fourth proportional to 15,846.14, 21,872.54 and 9,136.25 is: 12,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.14 : 21,872.54 = 9,136.25 : x
  2. Step 2: Convert to fraction form
    15,846.14/21,872.54 = 9,136.25/x
  3. Step 3: Cross multiply
    15,846.14x = 21,872.54 × 9,136.25
  4. Step 4: Simplify right side
    15,846.14x = 199,832,993.58
  5. Step 5: Solve for x
    x = 199,832,993.58/15,846.14
  6. Step 6: Final answer
    x = 12,610.83

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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.