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Finding the Fourth Proportional to 20,194.34, 30,270.24 and 9,657.86

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Solution

The fourth proportional to 20,194.34, 30,270.24 and 9,657.86 is: 14,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.34 : 30,270.24 = 9,657.86 : x
  2. Step 2: Convert to fraction form
    20,194.34/30,270.24 = 9,657.86/x
  3. Step 3: Cross multiply
    20,194.34x = 30,270.24 × 9,657.86
  4. Step 4: Simplify right side
    20,194.34x = 292,345,588.74
  5. Step 5: Solve for x
    x = 292,345,588.74/20,194.34
  6. Step 6: Final answer
    x = 14,476.61

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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.