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Finding the Fourth Proportional to 20,749.50, 31,123.95 and 9,649.97

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Solution

The fourth proportional to 20,749.50, 31,123.95 and 9,649.97 is: 14,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.50 : 31,123.95 = 9,649.97 : x
  2. Step 2: Convert to fraction form
    20,749.50/31,123.95 = 9,649.97/x
  3. Step 3: Cross multiply
    20,749.50x = 31,123.95 × 9,649.97
  4. Step 4: Simplify right side
    20,749.50x = 300,345,108.69
  5. Step 5: Solve for x
    x = 300,345,108.69/20,749.50
  6. Step 6: Final answer
    x = 14,474.81

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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.