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Finding the Fourth Proportional to 20,096.64, 30,158.64 and 8,252.58

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Solution

The fourth proportional to 20,096.64, 30,158.64 and 8,252.58 is: 12,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.64 : 30,158.64 = 8,252.58 : x
  2. Step 2: Convert to fraction form
    20,096.64/30,158.64 = 8,252.58/x
  3. Step 3: Cross multiply
    20,096.64x = 30,158.64 × 8,252.58
  4. Step 4: Simplify right side
    20,096.64x = 248,886,589.29
  5. Step 5: Solve for x
    x = 248,886,589.29/20,096.64
  6. Step 6: Final answer
    x = 12,384.49

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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.