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Finding the Fourth Proportional to 20,434.88, 30,649.99 and 7,105.32

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Solution

The fourth proportional to 20,434.88, 30,649.99 and 7,105.32 is: 10,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.88 : 30,649.99 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    20,434.88/30,649.99 = 7,105.32/x
  3. Step 3: Cross multiply
    20,434.88x = 30,649.99 × 7,105.32
  4. Step 4: Simplify right side
    20,434.88x = 217,777,986.95
  5. Step 5: Solve for x
    x = 217,777,986.95/20,434.88
  6. Step 6: Final answer
    x = 10,657.17

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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.