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Finding the Fourth Proportional to 20,512.41, 30,758.36 and 9,409.63

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Solution

The fourth proportional to 20,512.41, 30,758.36 and 9,409.63 is: 14,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.41 : 30,758.36 = 9,409.63 : x
  2. Step 2: Convert to fraction form
    20,512.41/30,758.36 = 9,409.63/x
  3. Step 3: Cross multiply
    20,512.41x = 30,758.36 × 9,409.63
  4. Step 4: Simplify right side
    20,512.41x = 289,424,586.17
  5. Step 5: Solve for x
    x = 289,424,586.17/20,512.41
  6. Step 6: Final answer
    x = 14,109.73

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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.