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Finding the Fourth Proportional to 20,464.38, 30,696.57 and 14,632.38

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Solution

The fourth proportional to 20,464.38, 30,696.57 and 14,632.38 is: 21,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.38 : 30,696.57 = 14,632.38 : x
  2. Step 2: Convert to fraction form
    20,464.38/30,696.57 = 14,632.38/x
  3. Step 3: Cross multiply
    20,464.38x = 30,696.57 × 14,632.38
  4. Step 4: Simplify right side
    20,464.38x = 449,163,876.94
  5. Step 5: Solve for x
    x = 449,163,876.94/20,464.38
  6. Step 6: Final answer
    x = 21,948.57

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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.