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Finding the Fourth Proportional to 16,469.66, 24,709.74 and 10,209.14

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Solution

The fourth proportional to 16,469.66, 24,709.74 and 10,209.14 is: 15,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.66 : 24,709.74 = 10,209.14 : x
  2. Step 2: Convert to fraction form
    16,469.66/24,709.74 = 10,209.14/x
  3. Step 3: Cross multiply
    16,469.66x = 24,709.74 × 10,209.14
  4. Step 4: Simplify right side
    16,469.66x = 252,265,195.02
  5. Step 5: Solve for x
    x = 252,265,195.02/16,469.66
  6. Step 6: Final answer
    x = 15,316.96

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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.