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Finding the Fourth Proportional to 20,930.64, 31,400.58 and 6,894.96

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Solution

The fourth proportional to 20,930.64, 31,400.58 and 6,894.96 is: 10,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.64 : 31,400.58 = 6,894.96 : x
  2. Step 2: Convert to fraction form
    20,930.64/31,400.58 = 6,894.96/x
  3. Step 3: Cross multiply
    20,930.64x = 31,400.58 × 6,894.96
  4. Step 4: Simplify right side
    20,930.64x = 216,505,743.08
  5. Step 5: Solve for x
    x = 216,505,743.08/20,930.64
  6. Step 6: Final answer
    x = 10,343.96

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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.