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Finding the Fourth Proportional to 14,364.80, 21,544.72 and 3,974.12

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Solution

The fourth proportional to 14,364.80, 21,544.72 and 3,974.12 is: 5,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.80 : 21,544.72 = 3,974.12 : x
  2. Step 2: Convert to fraction form
    14,364.80/21,544.72 = 3,974.12/x
  3. Step 3: Cross multiply
    14,364.80x = 21,544.72 × 3,974.12
  4. Step 4: Simplify right side
    14,364.80x = 85,621,302.65
  5. Step 5: Solve for x
    x = 85,621,302.65/14,364.80
  6. Step 6: Final answer
    x = 5,960.49

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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.