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Finding the Fourth Proportional to 11,624.37, 17,440.20 and 3,838.65

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Solution

The fourth proportional to 11,624.37, 17,440.20 and 3,838.65 is: 5,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.37 : 17,440.20 = 3,838.65 : x
  2. Step 2: Convert to fraction form
    11,624.37/17,440.20 = 3,838.65/x
  3. Step 3: Cross multiply
    11,624.37x = 17,440.20 × 3,838.65
  4. Step 4: Simplify right side
    11,624.37x = 66,946,717.34
  5. Step 5: Solve for x
    x = 66,946,717.34/11,624.37
  6. Step 6: Final answer
    x = 5,759.17

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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.