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Finding the Fourth Proportional to 20,232.71, 30,357.83 and 10,861.80

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Solution

The fourth proportional to 20,232.71, 30,357.83 and 10,861.80 is: 16,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.71 : 30,357.83 = 10,861.80 : x
  2. Step 2: Convert to fraction form
    20,232.71/30,357.83 = 10,861.80/x
  3. Step 3: Cross multiply
    20,232.71x = 30,357.83 × 10,861.80
  4. Step 4: Simplify right side
    20,232.71x = 329,740,514.83
  5. Step 5: Solve for x
    x = 329,740,514.83/20,232.71
  6. Step 6: Final answer
    x = 16,297.40

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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.