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Finding the Fourth Proportional to 12,400.86, 18,613.47 and 9,104.64

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Solution

The fourth proportional to 12,400.86, 18,613.47 and 9,104.64 is: 13,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.86 : 18,613.47 = 9,104.64 : x
  2. Step 2: Convert to fraction form
    12,400.86/18,613.47 = 9,104.64/x
  3. Step 3: Cross multiply
    12,400.86x = 18,613.47 × 9,104.64
  4. Step 4: Simplify right side
    12,400.86x = 169,468,943.50
  5. Step 5: Solve for x
    x = 169,468,943.50/12,400.86
  6. Step 6: Final answer
    x = 13,665.90

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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.