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Finding the Fourth Proportional to 12,972.67, 17,885.91 and 8,489.32

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Solution

The fourth proportional to 12,972.67, 17,885.91 and 8,489.32 is: 11,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.67 : 17,885.91 = 8,489.32 : x
  2. Step 2: Convert to fraction form
    12,972.67/17,885.91 = 8,489.32/x
  3. Step 3: Cross multiply
    12,972.67x = 17,885.91 × 8,489.32
  4. Step 4: Simplify right side
    12,972.67x = 151,839,213.48
  5. Step 5: Solve for x
    x = 151,839,213.48/12,972.67
  6. Step 6: Final answer
    x = 11,704.55

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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.