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Finding the Fourth Proportional to 12,332.80, 18,504.32 and 6,494.56

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Solution

The fourth proportional to 12,332.80, 18,504.32 and 6,494.56 is: 9,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.80 : 18,504.32 = 6,494.56 : x
  2. Step 2: Convert to fraction form
    12,332.80/18,504.32 = 6,494.56/x
  3. Step 3: Cross multiply
    12,332.80x = 18,504.32 × 6,494.56
  4. Step 4: Simplify right side
    12,332.80x = 120,177,416.50
  5. Step 5: Solve for x
    x = 120,177,416.50/12,332.80
  6. Step 6: Final answer
    x = 9,744.54

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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.