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Finding the Fourth Proportional to 20,262.80, 30,363.96 and 12,478.16

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Solution

The fourth proportional to 20,262.80, 30,363.96 and 12,478.16 is: 18,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.80 : 30,363.96 = 12,478.16 : x
  2. Step 2: Convert to fraction form
    20,262.80/30,363.96 = 12,478.16/x
  3. Step 3: Cross multiply
    20,262.80x = 30,363.96 × 12,478.16
  4. Step 4: Simplify right side
    20,262.80x = 378,886,351.11
  5. Step 5: Solve for x
    x = 378,886,351.11/20,262.80
  6. Step 6: Final answer
    x = 18,698.62

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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.