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Finding the Fourth Proportional to 20,493.46, 30,677.28 and 14,945.50

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Solution

The fourth proportional to 20,493.46, 30,677.28 and 14,945.50 is: 22,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.46 : 30,677.28 = 14,945.50 : x
  2. Step 2: Convert to fraction form
    20,493.46/30,677.28 = 14,945.50/x
  3. Step 3: Cross multiply
    20,493.46x = 30,677.28 × 14,945.50
  4. Step 4: Simplify right side
    20,493.46x = 458,487,288.24
  5. Step 5: Solve for x
    x = 458,487,288.24/20,493.46
  6. Step 6: Final answer
    x = 22,372.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.