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Finding the Fourth Proportional to 11,424, 17,136.30 and 3,632.81

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Solution

The fourth proportional to 11,424, 17,136.30 and 3,632.81 is: 5,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 17,136.30 = 3,632.81 : x
  2. Step 2: Convert to fraction form
    11,424/17,136.30 = 3,632.81/x
  3. Step 3: Cross multiply
    11,424x = 17,136.30 × 3,632.81
  4. Step 4: Simplify right side
    11,424x = 62,252,922.00
  5. Step 5: Solve for x
    x = 62,252,922.00/11,424
  6. Step 6: Final answer
    x = 5,449.31

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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.