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Finding the Fourth Proportional to 18,256, 25,193.34 and 9,872.56

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Solution

The fourth proportional to 18,256, 25,193.34 and 9,872.56 is: 13,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256 : 25,193.34 = 9,872.56 : x
  2. Step 2: Convert to fraction form
    18,256/25,193.34 = 9,872.56/x
  3. Step 3: Cross multiply
    18,256x = 25,193.34 × 9,872.56
  4. Step 4: Simplify right side
    18,256x = 248,722,760.75
  5. Step 5: Solve for x
    x = 248,722,760.75/18,256
  6. Step 6: Final answer
    x = 13,624.17

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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.