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Finding the Fourth Proportional to 20,406.94, 30,605.37 and 5,615.14

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Solution

The fourth proportional to 20,406.94, 30,605.37 and 5,615.14 is: 8,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.94 : 30,605.37 = 5,615.14 : x
  2. Step 2: Convert to fraction form
    20,406.94/30,605.37 = 5,615.14/x
  3. Step 3: Cross multiply
    20,406.94x = 30,605.37 × 5,615.14
  4. Step 4: Simplify right side
    20,406.94x = 171,853,437.30
  5. Step 5: Solve for x
    x = 171,853,437.30/20,406.94
  6. Step 6: Final answer
    x = 8,421.32

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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.