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Finding the Fourth Proportional to 20,234.58, 30,341.34 and 7,750.86

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Solution

The fourth proportional to 20,234.58, 30,341.34 and 7,750.86 is: 11,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.58 : 30,341.34 = 7,750.86 : x
  2. Step 2: Convert to fraction form
    20,234.58/30,341.34 = 7,750.86/x
  3. Step 3: Cross multiply
    20,234.58x = 30,341.34 × 7,750.86
  4. Step 4: Simplify right side
    20,234.58x = 235,171,478.55
  5. Step 5: Solve for x
    x = 235,171,478.55/20,234.58
  6. Step 6: Final answer
    x = 11,622.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.