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Finding the Fourth Proportional to 12,781.49, 17,633.56 and 9,432.30

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Solution

The fourth proportional to 12,781.49, 17,633.56 and 9,432.30 is: 13,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.49 : 17,633.56 = 9,432.30 : x
  2. Step 2: Convert to fraction form
    12,781.49/17,633.56 = 9,432.30/x
  3. Step 3: Cross multiply
    12,781.49x = 17,633.56 × 9,432.30
  4. Step 4: Simplify right side
    12,781.49x = 166,325,027.99
  5. Step 5: Solve for x
    x = 166,325,027.99/12,781.49
  6. Step 6: Final answer
    x = 13,012.96

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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.