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Finding the Fourth Proportional to 15,105.78, 20,846.16 and 9,136.35

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Solution

The fourth proportional to 15,105.78, 20,846.16 and 9,136.35 is: 12,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.78 : 20,846.16 = 9,136.35 : x
  2. Step 2: Convert to fraction form
    15,105.78/20,846.16 = 9,136.35/x
  3. Step 3: Cross multiply
    15,105.78x = 20,846.16 × 9,136.35
  4. Step 4: Simplify right side
    15,105.78x = 190,457,813.92
  5. Step 5: Solve for x
    x = 190,457,813.92/15,105.78
  6. Step 6: Final answer
    x = 12,608.27

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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.