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Finding the Fourth Proportional to 12,400.09, 18,576.68 and 9,613.11

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Solution

The fourth proportional to 12,400.09, 18,576.68 and 9,613.11 is: 14,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.09 : 18,576.68 = 9,613.11 : x
  2. Step 2: Convert to fraction form
    12,400.09/18,576.68 = 9,613.11/x
  3. Step 3: Cross multiply
    12,400.09x = 18,576.68 × 9,613.11
  4. Step 4: Simplify right side
    12,400.09x = 178,579,689.87
  5. Step 5: Solve for x
    x = 178,579,689.87/12,400.09
  6. Step 6: Final answer
    x = 14,401.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.