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Finding the Fourth Proportional to 12,446.16, 17,175.66 and 6,780.80

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Solution

The fourth proportional to 12,446.16, 17,175.66 and 6,780.80 is: 9,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.16 : 17,175.66 = 6,780.80 : x
  2. Step 2: Convert to fraction form
    12,446.16/17,175.66 = 6,780.80/x
  3. Step 3: Cross multiply
    12,446.16x = 17,175.66 × 6,780.80
  4. Step 4: Simplify right side
    12,446.16x = 116,464,715.33
  5. Step 5: Solve for x
    x = 116,464,715.33/12,446.16
  6. Step 6: Final answer
    x = 9,357.48

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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.