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Finding the Fourth Proportional to 13,599.42, 18,768.68 and 8,294.19

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Solution

The fourth proportional to 13,599.42, 18,768.68 and 8,294.19 is: 11,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.42 : 18,768.68 = 8,294.19 : x
  2. Step 2: Convert to fraction form
    13,599.42/18,768.68 = 8,294.19/x
  3. Step 3: Cross multiply
    13,599.42x = 18,768.68 × 8,294.19
  4. Step 4: Simplify right side
    13,599.42x = 155,670,997.97
  5. Step 5: Solve for x
    x = 155,670,997.97/13,599.42
  6. Step 6: Final answer
    x = 11,446.89

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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.