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Finding the Fourth Proportional to 17,509.35, 24,151.68 and 11,776.38

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Solution

The fourth proportional to 17,509.35, 24,151.68 and 11,776.38 is: 16,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.35 : 24,151.68 = 11,776.38 : x
  2. Step 2: Convert to fraction form
    17,509.35/24,151.68 = 11,776.38/x
  3. Step 3: Cross multiply
    17,509.35x = 24,151.68 × 11,776.38
  4. Step 4: Simplify right side
    17,509.35x = 284,419,361.32
  5. Step 5: Solve for x
    x = 284,419,361.32/17,509.35
  6. Step 6: Final answer
    x = 16,243.86

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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.