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Finding the Fourth Proportional to 12,894.75, 19,343.25 and 3,660.75

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Solution

The fourth proportional to 12,894.75, 19,343.25 and 3,660.75 is: 5,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.75 : 19,343.25 = 3,660.75 : x
  2. Step 2: Convert to fraction form
    12,894.75/19,343.25 = 3,660.75/x
  3. Step 3: Cross multiply
    12,894.75x = 19,343.25 × 3,660.75
  4. Step 4: Simplify right side
    12,894.75x = 70,810,802.44
  5. Step 5: Solve for x
    x = 70,810,802.44/12,894.75
  6. Step 6: Final answer
    x = 5,491.44

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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.