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Finding the Fourth Proportional to 20,611.76, 30,917.64 and 5,029.28

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Solution

The fourth proportional to 20,611.76, 30,917.64 and 5,029.28 is: 7,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,611.76 : 30,917.64 = 5,029.28 : x
  2. Step 2: Convert to fraction form
    20,611.76/30,917.64 = 5,029.28/x
  3. Step 3: Cross multiply
    20,611.76x = 30,917.64 × 5,029.28
  4. Step 4: Simplify right side
    20,611.76x = 155,493,468.50
  5. Step 5: Solve for x
    x = 155,493,468.50/20,611.76
  6. Step 6: Final answer
    x = 7,543.92

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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.