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Finding the Fourth Proportional to 12,245.82, 16,880.84 and 9,588.61

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Solution

The fourth proportional to 12,245.82, 16,880.84 and 9,588.61 is: 13,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.82 : 16,880.84 = 9,588.61 : x
  2. Step 2: Convert to fraction form
    12,245.82/16,880.84 = 9,588.61/x
  3. Step 3: Cross multiply
    12,245.82x = 16,880.84 × 9,588.61
  4. Step 4: Simplify right side
    12,245.82x = 161,863,800.35
  5. Step 5: Solve for x
    x = 161,863,800.35/12,245.82
  6. Step 6: Final answer
    x = 13,217.89

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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.