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Finding the Fourth Proportional to 20,798.01, 31,200.09 and 7,649.34

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Solution

The fourth proportional to 20,798.01, 31,200.09 and 7,649.34 is: 11,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.01 : 31,200.09 = 7,649.34 : x
  2. Step 2: Convert to fraction form
    20,798.01/31,200.09 = 7,649.34/x
  3. Step 3: Cross multiply
    20,798.01x = 31,200.09 × 7,649.34
  4. Step 4: Simplify right side
    20,798.01x = 238,660,096.44
  5. Step 5: Solve for x
    x = 238,660,096.44/20,798.01
  6. Step 6: Final answer
    x = 11,475.14

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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.