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Finding the Fourth Proportional to 13,872.65, 19,142.78 and 8,207.61

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Solution

The fourth proportional to 13,872.65, 19,142.78 and 8,207.61 is: 11,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.65 : 19,142.78 = 8,207.61 : x
  2. Step 2: Convert to fraction form
    13,872.65/19,142.78 = 8,207.61/x
  3. Step 3: Cross multiply
    13,872.65x = 19,142.78 × 8,207.61
  4. Step 4: Simplify right side
    13,872.65x = 157,116,472.56
  5. Step 5: Solve for x
    x = 157,116,472.56/13,872.65
  6. Step 6: Final answer
    x = 11,325.63

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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.