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Finding the Fourth Proportional to 20,406.12, 30,614.04 and 7,259.64

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Solution

The fourth proportional to 20,406.12, 30,614.04 and 7,259.64 is: 10,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.12 : 30,614.04 = 7,259.64 : x
  2. Step 2: Convert to fraction form
    20,406.12/30,614.04 = 7,259.64/x
  3. Step 3: Cross multiply
    20,406.12x = 30,614.04 × 7,259.64
  4. Step 4: Simplify right side
    20,406.12x = 222,246,909.35
  5. Step 5: Solve for x
    x = 222,246,909.35/20,406.12
  6. Step 6: Final answer
    x = 10,891.19

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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.