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Finding the Fourth Proportional to 12,523.97, 17,283.10 and 6,781.48

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Solution

The fourth proportional to 12,523.97, 17,283.10 and 6,781.48 is: 9,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.97 : 17,283.10 = 6,781.48 : x
  2. Step 2: Convert to fraction form
    12,523.97/17,283.10 = 6,781.48/x
  3. Step 3: Cross multiply
    12,523.97x = 17,283.10 × 6,781.48
  4. Step 4: Simplify right side
    12,523.97x = 117,205,051.99
  5. Step 5: Solve for x
    x = 117,205,051.99/12,523.97
  6. Step 6: Final answer
    x = 9,358.46

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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.