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Finding the Fourth Proportional to 13,367, 18,450.57 and 7,705.53

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Solution

The fourth proportional to 13,367, 18,450.57 and 7,705.53 is: 10,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367 : 18,450.57 = 7,705.53 : x
  2. Step 2: Convert to fraction form
    13,367/18,450.57 = 7,705.53/x
  3. Step 3: Cross multiply
    13,367x = 18,450.57 × 7,705.53
  4. Step 4: Simplify right side
    13,367x = 142,171,382.12
  5. Step 5: Solve for x
    x = 142,171,382.12/13,367
  6. Step 6: Final answer
    x = 10,636.00

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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.