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Finding the Fourth Proportional to 27,084.88, 40,632.41 and 12,294.84

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Solution

The fourth proportional to 27,084.88, 40,632.41 and 12,294.84 is: 18,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084.88 : 40,632.41 = 12,294.84 : x
  2. Step 2: Convert to fraction form
    27,084.88/40,632.41 = 12,294.84/x
  3. Step 3: Cross multiply
    27,084.88x = 40,632.41 × 12,294.84
  4. Step 4: Simplify right side
    27,084.88x = 499,568,715.13
  5. Step 5: Solve for x
    x = 499,568,715.13/27,084.88
  6. Step 6: Final answer
    x = 18,444.56

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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.