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Finding the Fourth Proportional to 20,534.67, 30,859.71 and 12,216.19

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Solution

The fourth proportional to 20,534.67, 30,859.71 and 12,216.19 is: 18,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.67 : 30,859.71 = 12,216.19 : x
  2. Step 2: Convert to fraction form
    20,534.67/30,859.71 = 12,216.19/x
  3. Step 3: Cross multiply
    20,534.67x = 30,859.71 × 12,216.19
  4. Step 4: Simplify right side
    20,534.67x = 376,988,080.70
  5. Step 5: Solve for x
    x = 376,988,080.70/20,534.67
  6. Step 6: Final answer
    x = 18,358.61

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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.