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Finding the Fourth Proportional to 27,476.84, 41,214.12 and 12,680.84

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Solution

The fourth proportional to 27,476.84, 41,214.12 and 12,680.84 is: 19,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.84 : 41,214.12 = 12,680.84 : x
  2. Step 2: Convert to fraction form
    27,476.84/41,214.12 = 12,680.84/x
  3. Step 3: Cross multiply
    27,476.84x = 41,214.12 × 12,680.84
  4. Step 4: Simplify right side
    27,476.84x = 522,629,661.46
  5. Step 5: Solve for x
    x = 522,629,661.46/27,476.84
  6. Step 6: Final answer
    x = 19,020.73

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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.