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Finding the Fourth Proportional to 15,178.30, 20,942.49 and 9,209.83

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Solution

The fourth proportional to 15,178.30, 20,942.49 and 9,209.83 is: 12,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.30 : 20,942.49 = 9,209.83 : x
  2. Step 2: Convert to fraction form
    15,178.30/20,942.49 = 9,209.83/x
  3. Step 3: Cross multiply
    15,178.30x = 20,942.49 × 9,209.83
  4. Step 4: Simplify right side
    15,178.30x = 192,876,772.68
  5. Step 5: Solve for x
    x = 192,876,772.68/15,178.30
  6. Step 6: Final answer
    x = 12,707.40

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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.