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Finding the Fourth Proportional to 23,205.71, 34,808.54 and 8,414.60

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Solution

The fourth proportional to 23,205.71, 34,808.54 and 8,414.60 is: 12,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.71 : 34,808.54 = 8,414.60 : x
  2. Step 2: Convert to fraction form
    23,205.71/34,808.54 = 8,414.60/x
  3. Step 3: Cross multiply
    23,205.71x = 34,808.54 × 8,414.60
  4. Step 4: Simplify right side
    23,205.71x = 292,899,724.57
  5. Step 5: Solve for x
    x = 292,899,724.57/23,205.71
  6. Step 6: Final answer
    x = 12,621.88

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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.