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Finding the Fourth Proportional to 16,147.54, 24,221.04 and 7,828.27

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Solution

The fourth proportional to 16,147.54, 24,221.04 and 7,828.27 is: 11,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.54 : 24,221.04 = 7,828.27 : x
  2. Step 2: Convert to fraction form
    16,147.54/24,221.04 = 7,828.27/x
  3. Step 3: Cross multiply
    16,147.54x = 24,221.04 × 7,828.27
  4. Step 4: Simplify right side
    16,147.54x = 189,608,719.70
  5. Step 5: Solve for x
    x = 189,608,719.70/16,147.54
  6. Step 6: Final answer
    x = 11,742.27

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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.