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Finding the Fourth Proportional to 20,214.64, 30,321.96 and 7,894

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Solution

The fourth proportional to 20,214.64, 30,321.96 and 7,894 is: 11,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.64 : 30,321.96 = 7,894 : x
  2. Step 2: Convert to fraction form
    20,214.64/30,321.96 = 7,894/x
  3. Step 3: Cross multiply
    20,214.64x = 30,321.96 × 7,894
  4. Step 4: Simplify right side
    20,214.64x = 239,361,552.24
  5. Step 5: Solve for x
    x = 239,361,552.24/20,214.64
  6. Step 6: Final answer
    x = 11,841

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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.