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Finding the Fourth Proportional to 20,635.14, 30,957.29 and 7,487.22

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Solution

The fourth proportional to 20,635.14, 30,957.29 and 7,487.22 is: 11,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.14 : 30,957.29 = 7,487.22 : x
  2. Step 2: Convert to fraction form
    20,635.14/30,957.29 = 7,487.22/x
  3. Step 3: Cross multiply
    20,635.14x = 30,957.29 × 7,487.22
  4. Step 4: Simplify right side
    20,635.14x = 231,783,904.77
  5. Step 5: Solve for x
    x = 231,783,904.77/20,635.14
  6. Step 6: Final answer
    x = 11,232.49

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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.