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Finding the Fourth Proportional to 14,431.50, 21,584.71 and 8,494.23

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Solution

The fourth proportional to 14,431.50, 21,584.71 and 8,494.23 is: 12,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.50 : 21,584.71 = 8,494.23 : x
  2. Step 2: Convert to fraction form
    14,431.50/21,584.71 = 8,494.23/x
  3. Step 3: Cross multiply
    14,431.50x = 21,584.71 × 8,494.23
  4. Step 4: Simplify right side
    14,431.50x = 183,345,582.78
  5. Step 5: Solve for x
    x = 183,345,582.78/14,431.50
  6. Step 6: Final answer
    x = 12,704.54

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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.