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Finding the Fourth Proportional to 12,180.68, 16,809.38 and 6,591.68

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Solution

The fourth proportional to 12,180.68, 16,809.38 and 6,591.68 is: 9,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.68 : 16,809.38 = 6,591.68 : x
  2. Step 2: Convert to fraction form
    12,180.68/16,809.38 = 6,591.68/x
  3. Step 3: Cross multiply
    12,180.68x = 16,809.38 × 6,591.68
  4. Step 4: Simplify right side
    12,180.68x = 110,802,053.96
  5. Step 5: Solve for x
    x = 110,802,053.96/12,180.68
  6. Step 6: Final answer
    x = 9,096.54

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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.