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Finding the Fourth Proportional to 14,836.84, 20,471.70 and 8,546.92

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Solution

The fourth proportional to 14,836.84, 20,471.70 and 8,546.92 is: 11,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.84 : 20,471.70 = 8,546.92 : x
  2. Step 2: Convert to fraction form
    14,836.84/20,471.70 = 8,546.92/x
  3. Step 3: Cross multiply
    14,836.84x = 20,471.70 × 8,546.92
  4. Step 4: Simplify right side
    14,836.84x = 174,969,982.16
  5. Step 5: Solve for x
    x = 174,969,982.16/14,836.84
  6. Step 6: Final answer
    x = 11,792.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.