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Finding the Fourth Proportional to 20,412.15, 30,589 and 11,628.91

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Solution

The fourth proportional to 20,412.15, 30,589 and 11,628.91 is: 17,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.15 : 30,589 = 11,628.91 : x
  2. Step 2: Convert to fraction form
    20,412.15/30,589 = 11,628.91/x
  3. Step 3: Cross multiply
    20,412.15x = 30,589 × 11,628.91
  4. Step 4: Simplify right side
    20,412.15x = 355,716,727.99
  5. Step 5: Solve for x
    x = 355,716,727.99/20,412.15
  6. Step 6: Final answer
    x = 17,426.72

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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.