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Finding the Fourth Proportional to 14,906.69, 20,566.74 and 8,936.18

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Solution

The fourth proportional to 14,906.69, 20,566.74 and 8,936.18 is: 12,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.69 : 20,566.74 = 8,936.18 : x
  2. Step 2: Convert to fraction form
    14,906.69/20,566.74 = 8,936.18/x
  3. Step 3: Cross multiply
    14,906.69x = 20,566.74 × 8,936.18
  4. Step 4: Simplify right side
    14,906.69x = 183,787,943.14
  5. Step 5: Solve for x
    x = 183,787,943.14/14,906.69
  6. Step 6: Final answer
    x = 12,329.23

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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.