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Finding the Fourth Proportional to 14,160.42, 21,251.97 and 8,321.94

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Solution

The fourth proportional to 14,160.42, 21,251.97 and 8,321.94 is: 12,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.42 : 21,251.97 = 8,321.94 : x
  2. Step 2: Convert to fraction form
    14,160.42/21,251.97 = 8,321.94/x
  3. Step 3: Cross multiply
    14,160.42x = 21,251.97 × 8,321.94
  4. Step 4: Simplify right side
    14,160.42x = 176,857,619.22
  5. Step 5: Solve for x
    x = 176,857,619.22/14,160.42
  6. Step 6: Final answer
    x = 12,489.57

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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.