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Finding the Fourth Proportional to 20,164.14, 30,225.96 and 7,680.96

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Solution

The fourth proportional to 20,164.14, 30,225.96 and 7,680.96 is: 11,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.14 : 30,225.96 = 7,680.96 : x
  2. Step 2: Convert to fraction form
    20,164.14/30,225.96 = 7,680.96/x
  3. Step 3: Cross multiply
    20,164.14x = 30,225.96 × 7,680.96
  4. Step 4: Simplify right side
    20,164.14x = 232,164,389.72
  5. Step 5: Solve for x
    x = 232,164,389.72/20,164.14
  6. Step 6: Final answer
    x = 11,513.73

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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.