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Finding the Fourth Proportional to 16,394.78, 24,589.76 and 8,072.54

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Solution

The fourth proportional to 16,394.78, 24,589.76 and 8,072.54 is: 12,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.78 : 24,589.76 = 8,072.54 : x
  2. Step 2: Convert to fraction form
    16,394.78/24,589.76 = 8,072.54/x
  3. Step 3: Cross multiply
    16,394.78x = 24,589.76 × 8,072.54
  4. Step 4: Simplify right side
    16,394.78x = 198,501,718.42
  5. Step 5: Solve for x
    x = 198,501,718.42/16,394.78
  6. Step 6: Final answer
    x = 12,107.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.