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Finding the Fourth Proportional to 12,196.44, 16,830 and 7,160.04

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Solution

The fourth proportional to 12,196.44, 16,830 and 7,160.04 is: 9,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.44 : 16,830 = 7,160.04 : x
  2. Step 2: Convert to fraction form
    12,196.44/16,830 = 7,160.04/x
  3. Step 3: Cross multiply
    12,196.44x = 16,830 × 7,160.04
  4. Step 4: Simplify right side
    12,196.44x = 120,503,473.20
  5. Step 5: Solve for x
    x = 120,503,473.20/12,196.44
  6. Step 6: Final answer
    x = 9,880.22

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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.