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Finding the Fourth Proportional to 27,641, 41,467.98 and 9,173

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Solution

The fourth proportional to 27,641, 41,467.98 and 9,173 is: 13,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641 : 41,467.98 = 9,173 : x
  2. Step 2: Convert to fraction form
    27,641/41,467.98 = 9,173/x
  3. Step 3: Cross multiply
    27,641x = 41,467.98 × 9,173
  4. Step 4: Simplify right side
    27,641x = 380,385,780.54
  5. Step 5: Solve for x
    x = 380,385,780.54/27,641
  6. Step 6: Final answer
    x = 13,761.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.