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Finding the Fourth Proportional to 23,203.80, 34,809.48 and 8,414.28

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Solution

The fourth proportional to 23,203.80, 34,809.48 and 8,414.28 is: 12,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.80 : 34,809.48 = 8,414.28 : x
  2. Step 2: Convert to fraction form
    23,203.80/34,809.48 = 8,414.28/x
  3. Step 3: Cross multiply
    23,203.80x = 34,809.48 × 8,414.28
  4. Step 4: Simplify right side
    23,203.80x = 292,896,711.37
  5. Step 5: Solve for x
    x = 292,896,711.37/23,203.80
  6. Step 6: Final answer
    x = 12,622.79

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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.