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Finding the Fourth Proportional to 16,648.62, 24,951.06 and 8,219.76

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Solution

The fourth proportional to 16,648.62, 24,951.06 and 8,219.76 is: 12,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.62 : 24,951.06 = 8,219.76 : x
  2. Step 2: Convert to fraction form
    16,648.62/24,951.06 = 8,219.76/x
  3. Step 3: Cross multiply
    16,648.62x = 24,951.06 × 8,219.76
  4. Step 4: Simplify right side
    16,648.62x = 205,091,724.95
  5. Step 5: Solve for x
    x = 205,091,724.95/16,648.62
  6. Step 6: Final answer
    x = 12,318.84

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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.