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Finding the Fourth Proportional to 14,469.50, 21,717.65 and 8,933.69

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Solution

The fourth proportional to 14,469.50, 21,717.65 and 8,933.69 is: 13,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.50 : 21,717.65 = 8,933.69 : x
  2. Step 2: Convert to fraction form
    14,469.50/21,717.65 = 8,933.69/x
  3. Step 3: Cross multiply
    14,469.50x = 21,717.65 × 8,933.69
  4. Step 4: Simplify right side
    14,469.50x = 194,018,829.26
  5. Step 5: Solve for x
    x = 194,018,829.26/14,469.50
  6. Step 6: Final answer
    x = 13,408.81

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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.