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Finding the Fourth Proportional to 20,476.80, 30,707.52 and 8,784

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Solution

The fourth proportional to 20,476.80, 30,707.52 and 8,784 is: 13,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.80 : 30,707.52 = 8,784 : x
  2. Step 2: Convert to fraction form
    20,476.80/30,707.52 = 8,784/x
  3. Step 3: Cross multiply
    20,476.80x = 30,707.52 × 8,784
  4. Step 4: Simplify right side
    20,476.80x = 269,734,855.68
  5. Step 5: Solve for x
    x = 269,734,855.68/20,476.80
  6. Step 6: Final answer
    x = 13,172.71

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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.