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Finding the Fourth Proportional to 16,854.34, 25,286.97 and 8,089.93

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Solution

The fourth proportional to 16,854.34, 25,286.97 and 8,089.93 is: 12,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.34 : 25,286.97 = 8,089.93 : x
  2. Step 2: Convert to fraction form
    16,854.34/25,286.97 = 8,089.93/x
  3. Step 3: Cross multiply
    16,854.34x = 25,286.97 × 8,089.93
  4. Step 4: Simplify right side
    16,854.34x = 204,569,817.21
  5. Step 5: Solve for x
    x = 204,569,817.21/16,854.34
  6. Step 6: Final answer
    x = 12,137.52

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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.