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Finding the Fourth Proportional to 16,205.80, 24,308.70 and 5,816.20

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Solution

The fourth proportional to 16,205.80, 24,308.70 and 5,816.20 is: 8,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.80 : 24,308.70 = 5,816.20 : x
  2. Step 2: Convert to fraction form
    16,205.80/24,308.70 = 5,816.20/x
  3. Step 3: Cross multiply
    16,205.80x = 24,308.70 × 5,816.20
  4. Step 4: Simplify right side
    16,205.80x = 141,384,260.94
  5. Step 5: Solve for x
    x = 141,384,260.94/16,205.80
  6. Step 6: Final answer
    x = 8,724.30

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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.