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Finding the Fourth Proportional to 12,157.38, 16,777.18 and 6,568.38

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Solution

The fourth proportional to 12,157.38, 16,777.18 and 6,568.38 is: 9,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.38 : 16,777.18 = 6,568.38 : x
  2. Step 2: Convert to fraction form
    12,157.38/16,777.18 = 6,568.38/x
  3. Step 3: Cross multiply
    12,157.38x = 16,777.18 × 6,568.38
  4. Step 4: Simplify right side
    12,157.38x = 110,198,809.68
  5. Step 5: Solve for x
    x = 110,198,809.68/12,157.38
  6. Step 6: Final answer
    x = 9,064.36

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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.