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Finding the Fourth Proportional to 20,508.66, 30,772.72 and 12,205.08

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Solution

The fourth proportional to 20,508.66, 30,772.72 and 12,205.08 is: 18,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.66 : 30,772.72 = 12,205.08 : x
  2. Step 2: Convert to fraction form
    20,508.66/30,772.72 = 12,205.08/x
  3. Step 3: Cross multiply
    20,508.66x = 30,772.72 × 12,205.08
  4. Step 4: Simplify right side
    20,508.66x = 375,583,509.42
  5. Step 5: Solve for x
    x = 375,583,509.42/20,508.66
  6. Step 6: Final answer
    x = 18,313.41

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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.