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Finding the Fourth Proportional to 16,539.96, 24,809.94 and 8,230.38

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Solution

The fourth proportional to 16,539.96, 24,809.94 and 8,230.38 is: 12,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.96 : 24,809.94 = 8,230.38 : x
  2. Step 2: Convert to fraction form
    16,539.96/24,809.94 = 8,230.38/x
  3. Step 3: Cross multiply
    16,539.96x = 24,809.94 × 8,230.38
  4. Step 4: Simplify right side
    16,539.96x = 204,195,233.98
  5. Step 5: Solve for x
    x = 204,195,233.98/16,539.96
  6. Step 6: Final answer
    x = 12,345.57

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Similar ratio
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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.