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Finding the Fourth Proportional to 16,384.60, 24,576.90 and 8,065.90

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Solution

The fourth proportional to 16,384.60, 24,576.90 and 8,065.90 is: 12,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 24,576.90 = 8,065.90 : x
  2. Step 2: Convert to fraction form
    16,384.60/24,576.90 = 8,065.90/x
  3. Step 3: Cross multiply
    16,384.60x = 24,576.90 × 8,065.90
  4. Step 4: Simplify right side
    16,384.60x = 198,234,817.71
  5. Step 5: Solve for x
    x = 198,234,817.71/16,384.60
  6. Step 6: Final answer
    x = 12,098.85

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Similar ratio
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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.