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Finding the Fourth Proportional to 13,310.96, 18,380.94 and 8,283.80

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Solution

The fourth proportional to 13,310.96, 18,380.94 and 8,283.80 is: 11,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310.96 : 18,380.94 = 8,283.80 : x
  2. Step 2: Convert to fraction form
    13,310.96/18,380.94 = 8,283.80/x
  3. Step 3: Cross multiply
    13,310.96x = 18,380.94 × 8,283.80
  4. Step 4: Simplify right side
    13,310.96x = 152,264,030.77
  5. Step 5: Solve for x
    x = 152,264,030.77/13,310.96
  6. Step 6: Final answer
    x = 11,439.00

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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.