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Finding the Fourth Proportional to 14,822.70, 22,234.05 and 11,542.20

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Solution

The fourth proportional to 14,822.70, 22,234.05 and 11,542.20 is: 17,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.70 : 22,234.05 = 11,542.20 : x
  2. Step 2: Convert to fraction form
    14,822.70/22,234.05 = 11,542.20/x
  3. Step 3: Cross multiply
    14,822.70x = 22,234.05 × 11,542.20
  4. Step 4: Simplify right side
    14,822.70x = 256,629,851.91
  5. Step 5: Solve for x
    x = 256,629,851.91/14,822.70
  6. Step 6: Final answer
    x = 17,313.30

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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.