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Finding the Fourth Proportional to 20,125.90, 30,196.80 and 7,649.24

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Solution

The fourth proportional to 20,125.90, 30,196.80 and 7,649.24 is: 11,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.90 : 30,196.80 = 7,649.24 : x
  2. Step 2: Convert to fraction form
    20,125.90/30,196.80 = 7,649.24/x
  3. Step 3: Cross multiply
    20,125.90x = 30,196.80 × 7,649.24
  4. Step 4: Simplify right side
    20,125.90x = 230,982,419.45
  5. Step 5: Solve for x
    x = 230,982,419.45/20,125.90
  6. Step 6: Final answer
    x = 11,476.87

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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.