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Finding the Fourth Proportional to 16,005.20, 24,007.80 and 8,209.04

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Solution

The fourth proportional to 16,005.20, 24,007.80 and 8,209.04 is: 12,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.20 : 24,007.80 = 8,209.04 : x
  2. Step 2: Convert to fraction form
    16,005.20/24,007.80 = 8,209.04/x
  3. Step 3: Cross multiply
    16,005.20x = 24,007.80 × 8,209.04
  4. Step 4: Simplify right side
    16,005.20x = 197,080,990.51
  5. Step 5: Solve for x
    x = 197,080,990.51/16,005.20
  6. Step 6: Final answer
    x = 12,313.56

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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.