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Finding the Fourth Proportional to 16,546.75, 22,834 and 9,472.70

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Solution

The fourth proportional to 16,546.75, 22,834 and 9,472.70 is: 13,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.75 : 22,834 = 9,472.70 : x
  2. Step 2: Convert to fraction form
    16,546.75/22,834 = 9,472.70/x
  3. Step 3: Cross multiply
    16,546.75x = 22,834 × 9,472.70
  4. Step 4: Simplify right side
    16,546.75x = 216,299,631.80
  5. Step 5: Solve for x
    x = 216,299,631.80/16,546.75
  6. Step 6: Final answer
    x = 13,072.03

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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.