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Finding the Fourth Proportional to 20,534.66, 30,859.72 and 12,216.20

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Solution

The fourth proportional to 20,534.66, 30,859.72 and 12,216.20 is: 18,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.66 : 30,859.72 = 12,216.20 : x
  2. Step 2: Convert to fraction form
    20,534.66/30,859.72 = 12,216.20/x
  3. Step 3: Cross multiply
    20,534.66x = 30,859.72 × 12,216.20
  4. Step 4: Simplify right side
    20,534.66x = 376,988,511.46
  5. Step 5: Solve for x
    x = 376,988,511.46/20,534.66
  6. Step 6: Final answer
    x = 18,358.64

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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.