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Finding the Fourth Proportional to 20,157, 30,235.50 and 7,845

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Solution

The fourth proportional to 20,157, 30,235.50 and 7,845 is: 11,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 30,235.50 = 7,845 : x
  2. Step 2: Convert to fraction form
    20,157/30,235.50 = 7,845/x
  3. Step 3: Cross multiply
    20,157x = 30,235.50 × 7,845
  4. Step 4: Simplify right side
    20,157x = 237,197,497.50
  5. Step 5: Solve for x
    x = 237,197,497.50/20,157
  6. Step 6: Final answer
    x = 11,767.50

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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.