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Finding the Fourth Proportional to 20,404.50, 30,611.13 and 6,364.23

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Solution

The fourth proportional to 20,404.50, 30,611.13 and 6,364.23 is: 9,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.50 : 30,611.13 = 6,364.23 : x
  2. Step 2: Convert to fraction form
    20,404.50/30,611.13 = 6,364.23/x
  3. Step 3: Cross multiply
    20,404.50x = 30,611.13 × 6,364.23
  4. Step 4: Simplify right side
    20,404.50x = 194,816,271.88
  5. Step 5: Solve for x
    x = 194,816,271.88/20,404.50
  6. Step 6: Final answer
    x = 9,547.71

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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.