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Finding the Fourth Proportional to 18,056.32, 27,084.16 and 5,744

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Solution

The fourth proportional to 18,056.32, 27,084.16 and 5,744 is: 8,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,056.32 : 27,084.16 = 5,744 : x
  2. Step 2: Convert to fraction form
    18,056.32/27,084.16 = 5,744/x
  3. Step 3: Cross multiply
    18,056.32x = 27,084.16 × 5,744
  4. Step 4: Simplify right side
    18,056.32x = 155,571,415.04
  5. Step 5: Solve for x
    x = 155,571,415.04/18,056.32
  6. Step 6: Final answer
    x = 8,615.90

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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.