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Finding the Fourth Proportional to 12,310.12, 16,993.14 and 9,160.84

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Solution

The fourth proportional to 12,310.12, 16,993.14 and 9,160.84 is: 12,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.12 : 16,993.14 = 9,160.84 : x
  2. Step 2: Convert to fraction form
    12,310.12/16,993.14 = 9,160.84/x
  3. Step 3: Cross multiply
    12,310.12x = 16,993.14 × 9,160.84
  4. Step 4: Simplify right side
    12,310.12x = 155,671,436.64
  5. Step 5: Solve for x
    x = 155,671,436.64/12,310.12
  6. Step 6: Final answer
    x = 12,645.81

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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.