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Finding the Fourth Proportional to 17,929.08, 24,742.74 and 9,863.09

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Solution

The fourth proportional to 17,929.08, 24,742.74 and 9,863.09 is: 13,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.08 : 24,742.74 = 9,863.09 : x
  2. Step 2: Convert to fraction form
    17,929.08/24,742.74 = 9,863.09/x
  3. Step 3: Cross multiply
    17,929.08x = 24,742.74 × 9,863.09
  4. Step 4: Simplify right side
    17,929.08x = 244,039,747.75
  5. Step 5: Solve for x
    x = 244,039,747.75/17,929.08
  6. Step 6: Final answer
    x = 13,611.39

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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.