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Finding the Fourth Proportional to 17,136.86, 25,709.44 and 5,450.12

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Solution

The fourth proportional to 17,136.86, 25,709.44 and 5,450.12 is: 8,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.86 : 25,709.44 = 5,450.12 : x
  2. Step 2: Convert to fraction form
    17,136.86/25,709.44 = 5,450.12/x
  3. Step 3: Cross multiply
    17,136.86x = 25,709.44 × 5,450.12
  4. Step 4: Simplify right side
    17,136.86x = 140,119,533.13
  5. Step 5: Solve for x
    x = 140,119,533.13/17,136.86
  6. Step 6: Final answer
    x = 8,176.50

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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.