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Finding the Fourth Proportional to 12,725.70, 19,072.84 and 9,227.72

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Solution

The fourth proportional to 12,725.70, 19,072.84 and 9,227.72 is: 13,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.70 : 19,072.84 = 9,227.72 : x
  2. Step 2: Convert to fraction form
    12,725.70/19,072.84 = 9,227.72/x
  3. Step 3: Cross multiply
    12,725.70x = 19,072.84 × 9,227.72
  4. Step 4: Simplify right side
    12,725.70x = 175,998,685.62
  5. Step 5: Solve for x
    x = 175,998,685.62/12,725.70
  6. Step 6: Final answer
    x = 13,830.18

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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.