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Finding the Fourth Proportional to 27,084.72, 40,632.17 and 12,294.68

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Solution

The fourth proportional to 27,084.72, 40,632.17 and 12,294.68 is: 18,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084.72 : 40,632.17 = 12,294.68 : x
  2. Step 2: Convert to fraction form
    27,084.72/40,632.17 = 12,294.68/x
  3. Step 3: Cross multiply
    27,084.72x = 40,632.17 × 12,294.68
  4. Step 4: Simplify right side
    27,084.72x = 499,559,560.93
  5. Step 5: Solve for x
    x = 499,559,560.93/27,084.72
  6. Step 6: Final answer
    x = 18,444.33

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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.