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Finding the Fourth Proportional to 16,576.96, 24,865.70 and 9,228.12

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Solution

The fourth proportional to 16,576.96, 24,865.70 and 9,228.12 is: 13,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.96 : 24,865.70 = 9,228.12 : x
  2. Step 2: Convert to fraction form
    16,576.96/24,865.70 = 9,228.12/x
  3. Step 3: Cross multiply
    16,576.96x = 24,865.70 × 9,228.12
  4. Step 4: Simplify right side
    16,576.96x = 229,463,738.14
  5. Step 5: Solve for x
    x = 229,463,738.14/16,576.96
  6. Step 6: Final answer
    x = 13,842.33

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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.