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Finding the Fourth Proportional to 12,446.80, 17,176.32 and 6,857.80

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Solution

The fourth proportional to 12,446.80, 17,176.32 and 6,857.80 is: 9,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.80 : 17,176.32 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    12,446.80/17,176.32 = 6,857.80/x
  3. Step 3: Cross multiply
    12,446.80x = 17,176.32 × 6,857.80
  4. Step 4: Simplify right side
    12,446.80x = 117,791,767.30
  5. Step 5: Solve for x
    x = 117,791,767.30/12,446.80
  6. Step 6: Final answer
    x = 9,463.62

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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.