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Finding the Fourth Proportional to 16,220.72, 24,313.08 and 7,446.80

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Solution

The fourth proportional to 16,220.72, 24,313.08 and 7,446.80 is: 11,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.72 : 24,313.08 = 7,446.80 : x
  2. Step 2: Convert to fraction form
    16,220.72/24,313.08 = 7,446.80/x
  3. Step 3: Cross multiply
    16,220.72x = 24,313.08 × 7,446.80
  4. Step 4: Simplify right side
    16,220.72x = 181,054,644.14
  5. Step 5: Solve for x
    x = 181,054,644.14/16,220.72
  6. Step 6: Final answer
    x = 11,161.94

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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.