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Finding the Fourth Proportional to 12,406.50, 18,613.26 and 5,009.31

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Solution

The fourth proportional to 12,406.50, 18,613.26 and 5,009.31 is: 7,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.50 : 18,613.26 = 5,009.31 : x
  2. Step 2: Convert to fraction form
    12,406.50/18,613.26 = 5,009.31/x
  3. Step 3: Cross multiply
    12,406.50x = 18,613.26 × 5,009.31
  4. Step 4: Simplify right side
    12,406.50x = 93,239,589.45
  5. Step 5: Solve for x
    x = 93,239,589.45/12,406.50
  6. Step 6: Final answer
    x = 7,515.38

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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.