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Finding the Fourth Proportional to 14,537.75, 21,806.83 and 4,149.50

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Solution

The fourth proportional to 14,537.75, 21,806.83 and 4,149.50 is: 6,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.75 : 21,806.83 = 4,149.50 : x
  2. Step 2: Convert to fraction form
    14,537.75/21,806.83 = 4,149.50/x
  3. Step 3: Cross multiply
    14,537.75x = 21,806.83 × 4,149.50
  4. Step 4: Simplify right side
    14,537.75x = 90,487,441.09
  5. Step 5: Solve for x
    x = 90,487,441.09/14,537.75
  6. Step 6: Final answer
    x = 6,224.31

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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.