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Finding the Fourth Proportional to 16,539.92, 24,813.92 and 8,223.84

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Solution

The fourth proportional to 16,539.92, 24,813.92 and 8,223.84 is: 12,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.92 : 24,813.92 = 8,223.84 : x
  2. Step 2: Convert to fraction form
    16,539.92/24,813.92 = 8,223.84/x
  3. Step 3: Cross multiply
    16,539.92x = 24,813.92 × 8,223.84
  4. Step 4: Simplify right side
    16,539.92x = 204,065,707.85
  5. Step 5: Solve for x
    x = 204,065,707.85/16,539.92
  6. Step 6: Final answer
    x = 12,337.77

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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.