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Finding the Fourth Proportional to 13,613.81, 20,423.09 and 6,219.02

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Solution

The fourth proportional to 13,613.81, 20,423.09 and 6,219.02 is: 9,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.81 : 20,423.09 = 6,219.02 : x
  2. Step 2: Convert to fraction form
    13,613.81/20,423.09 = 6,219.02/x
  3. Step 3: Cross multiply
    13,613.81x = 20,423.09 × 6,219.02
  4. Step 4: Simplify right side
    13,613.81x = 127,011,471.96
  5. Step 5: Solve for x
    x = 127,011,471.96/13,613.81
  6. Step 6: Final answer
    x = 9,329.61

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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.