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Finding the Fourth Proportional to 18,640.72, 25,725.90 and 10,257.76

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Solution

The fourth proportional to 18,640.72, 25,725.90 and 10,257.76 is: 14,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.72 : 25,725.90 = 10,257.76 : x
  2. Step 2: Convert to fraction form
    18,640.72/25,725.90 = 10,257.76/x
  3. Step 3: Cross multiply
    18,640.72x = 25,725.90 × 10,257.76
  4. Step 4: Simplify right side
    18,640.72x = 263,890,107.98
  5. Step 5: Solve for x
    x = 263,890,107.98/18,640.72
  6. Step 6: Final answer
    x = 14,156.65

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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.