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Finding the Fourth Proportional to 12,523.93, 17,283.06 and 6,781.45

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Solution

The fourth proportional to 12,523.93, 17,283.06 and 6,781.45 is: 9,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.93 : 17,283.06 = 6,781.45 : x
  2. Step 2: Convert to fraction form
    12,523.93/17,283.06 = 6,781.45/x
  3. Step 3: Cross multiply
    12,523.93x = 17,283.06 × 6,781.45
  4. Step 4: Simplify right side
    12,523.93x = 117,204,207.24
  5. Step 5: Solve for x
    x = 117,204,207.24/12,523.93
  6. Step 6: Final answer
    x = 9,358.42

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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.