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Finding the Fourth Proportional to 14,644.63, 20,209.57 and 7,930.32

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Solution

The fourth proportional to 14,644.63, 20,209.57 and 7,930.32 is: 10,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.63 : 20,209.57 = 7,930.32 : x
  2. Step 2: Convert to fraction form
    14,644.63/20,209.57 = 7,930.32/x
  3. Step 3: Cross multiply
    14,644.63x = 20,209.57 × 7,930.32
  4. Step 4: Simplify right side
    14,644.63x = 160,268,357.16
  5. Step 5: Solve for x
    x = 160,268,357.16/14,644.63
  6. Step 6: Final answer
    x = 10,943.83

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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.