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Finding the Fourth Proportional to 13,634.05, 18,814.66 and 8,918.23

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Solution

The fourth proportional to 13,634.05, 18,814.66 and 8,918.23 is: 12,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.05 : 18,814.66 = 8,918.23 : x
  2. Step 2: Convert to fraction form
    13,634.05/18,814.66 = 8,918.23/x
  3. Step 3: Cross multiply
    13,634.05x = 18,814.66 × 8,918.23
  4. Step 4: Simplify right side
    13,634.05x = 167,793,465.25
  5. Step 5: Solve for x
    x = 167,793,465.25/13,634.05
  6. Step 6: Final answer
    x = 12,306.94

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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.