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Finding the Fourth Proportional to 14,257.98, 21,391.62 and 6,863.04

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Solution

The fourth proportional to 14,257.98, 21,391.62 and 6,863.04 is: 10,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.98 : 21,391.62 = 6,863.04 : x
  2. Step 2: Convert to fraction form
    14,257.98/21,391.62 = 6,863.04/x
  3. Step 3: Cross multiply
    14,257.98x = 21,391.62 × 6,863.04
  4. Step 4: Simplify right side
    14,257.98x = 146,811,543.72
  5. Step 5: Solve for x
    x = 146,811,543.72/14,257.98
  6. Step 6: Final answer
    x = 10,296.80

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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.