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Finding the Fourth Proportional to 27,381.78, 41,076.70 and 8,657.58

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Solution

The fourth proportional to 27,381.78, 41,076.70 and 8,657.58 is: 12,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381.78 : 41,076.70 = 8,657.58 : x
  2. Step 2: Convert to fraction form
    27,381.78/41,076.70 = 8,657.58/x
  3. Step 3: Cross multiply
    27,381.78x = 41,076.70 × 8,657.58
  4. Step 4: Simplify right side
    27,381.78x = 355,624,816.39
  5. Step 5: Solve for x
    x = 355,624,816.39/27,381.78
  6. Step 6: Final answer
    x = 12,987.64

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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.