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Finding the Fourth Proportional to 20,295.50, 30,447.02 and 7,156.22

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Solution

The fourth proportional to 20,295.50, 30,447.02 and 7,156.22 is: 10,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.50 : 30,447.02 = 7,156.22 : x
  2. Step 2: Convert to fraction form
    20,295.50/30,447.02 = 7,156.22/x
  3. Step 3: Cross multiply
    20,295.50x = 30,447.02 × 7,156.22
  4. Step 4: Simplify right side
    20,295.50x = 217,885,439.12
  5. Step 5: Solve for x
    x = 217,885,439.12/20,295.50
  6. Step 6: Final answer
    x = 10,735.66

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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.