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Finding the Fourth Proportional to 17,956.27, 24,783.87 and 11,657.71

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Solution

The fourth proportional to 17,956.27, 24,783.87 and 11,657.71 is: 16,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.27 : 24,783.87 = 11,657.71 : x
  2. Step 2: Convert to fraction form
    17,956.27/24,783.87 = 11,657.71/x
  3. Step 3: Cross multiply
    17,956.27x = 24,783.87 × 11,657.71
  4. Step 4: Simplify right side
    17,956.27x = 288,923,169.14
  5. Step 5: Solve for x
    x = 288,923,169.14/17,956.27
  6. Step 6: Final answer
    x = 16,090.38

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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.