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Finding the Fourth Proportional to 13,270.84, 18,306.14 and 8,294.20

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Solution

The fourth proportional to 13,270.84, 18,306.14 and 8,294.20 is: 11,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.84 : 18,306.14 = 8,294.20 : x
  2. Step 2: Convert to fraction form
    13,270.84/18,306.14 = 8,294.20/x
  3. Step 3: Cross multiply
    13,270.84x = 18,306.14 × 8,294.20
  4. Step 4: Simplify right side
    13,270.84x = 151,834,786.39
  5. Step 5: Solve for x
    x = 151,834,786.39/13,270.84
  6. Step 6: Final answer
    x = 11,441.23

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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.