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Finding the Fourth Proportional to 20,102.91, 30,154.44 and 8,407.93

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Solution

The fourth proportional to 20,102.91, 30,154.44 and 8,407.93 is: 12,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.91 : 30,154.44 = 8,407.93 : x
  2. Step 2: Convert to fraction form
    20,102.91/30,154.44 = 8,407.93/x
  3. Step 3: Cross multiply
    20,102.91x = 30,154.44 × 8,407.93
  4. Step 4: Simplify right side
    20,102.91x = 253,536,376.85
  5. Step 5: Solve for x
    x = 253,536,376.85/20,102.91
  6. Step 6: Final answer
    x = 12,611.92

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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.