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Finding the Fourth Proportional to 16,205.60, 24,313.80 and 7,890.80

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Solution

The fourth proportional to 16,205.60, 24,313.80 and 7,890.80 is: 11,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.60 : 24,313.80 = 7,890.80 : x
  2. Step 2: Convert to fraction form
    16,205.60/24,313.80 = 7,890.80/x
  3. Step 3: Cross multiply
    16,205.60x = 24,313.80 × 7,890.80
  4. Step 4: Simplify right side
    16,205.60x = 191,855,333.04
  5. Step 5: Solve for x
    x = 191,855,333.04/16,205.60
  6. Step 6: Final answer
    x = 11,838.83

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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.