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Finding the Fourth Proportional to 18,444.26, 27,674.50 and 9,677.11

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Solution

The fourth proportional to 18,444.26, 27,674.50 and 9,677.11 is: 14,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444.26 : 27,674.50 = 9,677.11 : x
  2. Step 2: Convert to fraction form
    18,444.26/27,674.50 = 9,677.11/x
  3. Step 3: Cross multiply
    18,444.26x = 27,674.50 × 9,677.11
  4. Step 4: Simplify right side
    18,444.26x = 267,809,180.70
  5. Step 5: Solve for x
    x = 267,809,180.70/18,444.26
  6. Step 6: Final answer
    x = 14,519.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.