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Finding the Fourth Proportional to 18,660.32, 27,975.36 and 6,971.84

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Solution

The fourth proportional to 18,660.32, 27,975.36 and 6,971.84 is: 10,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,660.32 : 27,975.36 = 6,971.84 : x
  2. Step 2: Convert to fraction form
    18,660.32/27,975.36 = 6,971.84/x
  3. Step 3: Cross multiply
    18,660.32x = 27,975.36 × 6,971.84
  4. Step 4: Simplify right side
    18,660.32x = 195,039,733.86
  5. Step 5: Solve for x
    x = 195,039,733.86/18,660.32
  6. Step 6: Final answer
    x = 10,452.11

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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.