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Finding the Fourth Proportional to 20,119.41, 30,169.40 and 8,429.49

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Solution

The fourth proportional to 20,119.41, 30,169.40 and 8,429.49 is: 12,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.41 : 30,169.40 = 8,429.49 : x
  2. Step 2: Convert to fraction form
    20,119.41/30,169.40 = 8,429.49/x
  3. Step 3: Cross multiply
    20,119.41x = 30,169.40 × 8,429.49
  4. Step 4: Simplify right side
    20,119.41x = 254,312,613.46
  5. Step 5: Solve for x
    x = 254,312,613.46/20,119.41
  6. Step 6: Final answer
    x = 12,640.16

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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.