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Finding the Fourth Proportional to 17,956.38, 24,779.34 and 9,998.43

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Solution

The fourth proportional to 17,956.38, 24,779.34 and 9,998.43 is: 13,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.38 : 24,779.34 = 9,998.43 : x
  2. Step 2: Convert to fraction form
    17,956.38/24,779.34 = 9,998.43/x
  3. Step 3: Cross multiply
    17,956.38x = 24,779.34 × 9,998.43
  4. Step 4: Simplify right side
    17,956.38x = 247,754,496.44
  5. Step 5: Solve for x
    x = 247,754,496.44/17,956.38
  6. Step 6: Final answer
    x = 13,797.57

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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.