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Finding the Fourth Proportional to 20,627.10, 30,940.47 and 7,474.50

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Solution

The fourth proportional to 20,627.10, 30,940.47 and 7,474.50 is: 11,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.10 : 30,940.47 = 7,474.50 : x
  2. Step 2: Convert to fraction form
    20,627.10/30,940.47 = 7,474.50/x
  3. Step 3: Cross multiply
    20,627.10x = 30,940.47 × 7,474.50
  4. Step 4: Simplify right side
    20,627.10x = 231,264,543.02
  5. Step 5: Solve for x
    x = 231,264,543.02/20,627.10
  6. Step 6: Final answer
    x = 11,211.68

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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.