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Finding the Fourth Proportional to 12,326.50, 18,489.57 and 5,749

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Solution

The fourth proportional to 12,326.50, 18,489.57 and 5,749 is: 8,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.50 : 18,489.57 = 5,749 : x
  2. Step 2: Convert to fraction form
    12,326.50/18,489.57 = 5,749/x
  3. Step 3: Cross multiply
    12,326.50x = 18,489.57 × 5,749
  4. Step 4: Simplify right side
    12,326.50x = 106,296,537.93
  5. Step 5: Solve for x
    x = 106,296,537.93/12,326.50
  6. Step 6: Final answer
    x = 8,623.42

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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.