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Finding the Fourth Proportional to 21,509.50, 32,251.69 and 8,346.49

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Solution

The fourth proportional to 21,509.50, 32,251.69 and 8,346.49 is: 12,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.50 : 32,251.69 = 8,346.49 : x
  2. Step 2: Convert to fraction form
    21,509.50/32,251.69 = 8,346.49/x
  3. Step 3: Cross multiply
    21,509.50x = 32,251.69 × 8,346.49
  4. Step 4: Simplify right side
    21,509.50x = 269,188,408.07
  5. Step 5: Solve for x
    x = 269,188,408.07/21,509.50
  6. Step 6: Final answer
    x = 12,514.86

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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.