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Finding the Fourth Proportional to 20,884.34, 31,325.09 and 9,793.50

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Solution

The fourth proportional to 20,884.34, 31,325.09 and 9,793.50 is: 14,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.34 : 31,325.09 = 9,793.50 : x
  2. Step 2: Convert to fraction form
    20,884.34/31,325.09 = 9,793.50/x
  3. Step 3: Cross multiply
    20,884.34x = 31,325.09 × 9,793.50
  4. Step 4: Simplify right side
    20,884.34x = 306,782,219.95
  5. Step 5: Solve for x
    x = 306,782,219.95/20,884.34
  6. Step 6: Final answer
    x = 14,689.59

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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.