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Finding the Fourth Proportional to 20,142.19, 30,205.41 and 7,655.59

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Solution

The fourth proportional to 20,142.19, 30,205.41 and 7,655.59 is: 11,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.19 : 30,205.41 = 7,655.59 : x
  2. Step 2: Convert to fraction form
    20,142.19/30,205.41 = 7,655.59/x
  3. Step 3: Cross multiply
    20,142.19x = 30,205.41 × 7,655.59
  4. Step 4: Simplify right side
    20,142.19x = 231,240,234.74
  5. Step 5: Solve for x
    x = 231,240,234.74/20,142.19
  6. Step 6: Final answer
    x = 11,480.39

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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.