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Finding the Fourth Proportional to 13,613.27, 18,783.90 and 8,309.79

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Solution

The fourth proportional to 13,613.27, 18,783.90 and 8,309.79 is: 11,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.27 : 18,783.90 = 8,309.79 : x
  2. Step 2: Convert to fraction form
    13,613.27/18,783.90 = 8,309.79/x
  3. Step 3: Cross multiply
    13,613.27x = 18,783.90 × 8,309.79
  4. Step 4: Simplify right side
    13,613.27x = 156,090,264.38
  5. Step 5: Solve for x
    x = 156,090,264.38/13,613.27
  6. Step 6: Final answer
    x = 11,466.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.