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Finding the Fourth Proportional to 16,512.30, 24,784.65 and 8,201.70

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Solution

The fourth proportional to 16,512.30, 24,784.65 and 8,201.70 is: 12,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.30 : 24,784.65 = 8,201.70 : x
  2. Step 2: Convert to fraction form
    16,512.30/24,784.65 = 8,201.70/x
  3. Step 3: Cross multiply
    16,512.30x = 24,784.65 × 8,201.70
  4. Step 4: Simplify right side
    16,512.30x = 203,276,263.91
  5. Step 5: Solve for x
    x = 203,276,263.91/16,512.30
  6. Step 6: Final answer
    x = 12,310.60

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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.