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Finding the Fourth Proportional to 20,405.94, 30,603.87 and 5,614.14

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Solution

The fourth proportional to 20,405.94, 30,603.87 and 5,614.14 is: 8,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.94 : 30,603.87 = 5,614.14 : x
  2. Step 2: Convert to fraction form
    20,405.94/30,603.87 = 5,614.14/x
  3. Step 3: Cross multiply
    20,405.94x = 30,603.87 × 5,614.14
  4. Step 4: Simplify right side
    20,405.94x = 171,814,410.72
  5. Step 5: Solve for x
    x = 171,814,410.72/20,405.94
  6. Step 6: Final answer
    x = 8,419.82

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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.