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Finding the Fourth Proportional to 20,178.81, 30,267.89 and 9,077.65

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Solution

The fourth proportional to 20,178.81, 30,267.89 and 9,077.65 is: 13,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.81 : 30,267.89 = 9,077.65 : x
  2. Step 2: Convert to fraction form
    20,178.81/30,267.89 = 9,077.65/x
  3. Step 3: Cross multiply
    20,178.81x = 30,267.89 × 9,077.65
  4. Step 4: Simplify right side
    20,178.81x = 274,761,224.64
  5. Step 5: Solve for x
    x = 274,761,224.64/20,178.81
  6. Step 6: Final answer
    x = 13,616.32

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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.