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Finding the Fourth Proportional to 12,446.30, 17,175.73 and 6,781.28

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Solution

The fourth proportional to 12,446.30, 17,175.73 and 6,781.28 is: 9,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.30 : 17,175.73 = 6,781.28 : x
  2. Step 2: Convert to fraction form
    12,446.30/17,175.73 = 6,781.28/x
  3. Step 3: Cross multiply
    12,446.30x = 17,175.73 × 6,781.28
  4. Step 4: Simplify right side
    12,446.30x = 116,473,408.63
  5. Step 5: Solve for x
    x = 116,473,408.63/12,446.30
  6. Step 6: Final answer
    x = 9,358.08

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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.