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Finding the Fourth Proportional to 20,634.59, 30,942.87 and 7,303.16

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Solution

The fourth proportional to 20,634.59, 30,942.87 and 7,303.16 is: 10,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.59 : 30,942.87 = 7,303.16 : x
  2. Step 2: Convert to fraction form
    20,634.59/30,942.87 = 7,303.16/x
  3. Step 3: Cross multiply
    20,634.59x = 30,942.87 × 7,303.16
  4. Step 4: Simplify right side
    20,634.59x = 225,980,575.75
  5. Step 5: Solve for x
    x = 225,980,575.75/20,634.59
  6. Step 6: Final answer
    x = 10,951.54

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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.