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Finding the Fourth Proportional to 14,246.26, 19,658.82 and 7,872.78

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Solution

The fourth proportional to 14,246.26, 19,658.82 and 7,872.78 is: 10,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.26 : 19,658.82 = 7,872.78 : x
  2. Step 2: Convert to fraction form
    14,246.26/19,658.82 = 7,872.78/x
  3. Step 3: Cross multiply
    14,246.26x = 19,658.82 × 7,872.78
  4. Step 4: Simplify right side
    14,246.26x = 154,769,564.92
  5. Step 5: Solve for x
    x = 154,769,564.92/14,246.26
  6. Step 6: Final answer
    x = 10,863.87

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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.