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Finding the Fourth Proportional to 13,348.98, 18,422.96 and 7,683.94

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Solution

The fourth proportional to 13,348.98, 18,422.96 and 7,683.94 is: 10,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.98 : 18,422.96 = 7,683.94 : x
  2. Step 2: Convert to fraction form
    13,348.98/18,422.96 = 7,683.94/x
  3. Step 3: Cross multiply
    13,348.98x = 18,422.96 × 7,683.94
  4. Step 4: Simplify right side
    13,348.98x = 141,560,919.26
  5. Step 5: Solve for x
    x = 141,560,919.26/13,348.98
  6. Step 6: Final answer
    x = 10,604.62

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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.