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Finding the Fourth Proportional to 20,142.70, 30,218.85 and 9,745.90

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Solution

The fourth proportional to 20,142.70, 30,218.85 and 9,745.90 is: 14,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.70 : 30,218.85 = 9,745.90 : x
  2. Step 2: Convert to fraction form
    20,142.70/30,218.85 = 9,745.90/x
  3. Step 3: Cross multiply
    20,142.70x = 30,218.85 × 9,745.90
  4. Step 4: Simplify right side
    20,142.70x = 294,509,890.22
  5. Step 5: Solve for x
    x = 294,509,890.22/20,142.70
  6. Step 6: Final answer
    x = 14,621.17

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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.