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Finding the Fourth Proportional to 27,546.64, 41,309 and 10,006.88

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Solution

The fourth proportional to 27,546.64, 41,309 and 10,006.88 is: 15,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.64 : 41,309 = 10,006.88 : x
  2. Step 2: Convert to fraction form
    27,546.64/41,309 = 10,006.88/x
  3. Step 3: Cross multiply
    27,546.64x = 41,309 × 10,006.88
  4. Step 4: Simplify right side
    27,546.64x = 413,374,205.92
  5. Step 5: Solve for x
    x = 413,374,205.92/27,546.64
  6. Step 6: Final answer
    x = 15,006.34

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