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Finding the Fourth Proportional to 20,596.50, 30,894.72 and 17,814.89

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Solution

The fourth proportional to 20,596.50, 30,894.72 and 17,814.89 is: 26,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.50 : 30,894.72 = 17,814.89 : x
  2. Step 2: Convert to fraction form
    20,596.50/30,894.72 = 17,814.89/x
  3. Step 3: Cross multiply
    20,596.50x = 30,894.72 × 17,814.89
  4. Step 4: Simplify right side
    20,596.50x = 550,385,883.91
  5. Step 5: Solve for x
    x = 550,385,883.91/20,596.50
  6. Step 6: Final answer
    x = 26,722.30

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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.