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Finding the Fourth Proportional to 20,794.24, 31,184.88 and 6,940

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Solution

The fourth proportional to 20,794.24, 31,184.88 and 6,940 is: 10,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.24 : 31,184.88 = 6,940 : x
  2. Step 2: Convert to fraction form
    20,794.24/31,184.88 = 6,940/x
  3. Step 3: Cross multiply
    20,794.24x = 31,184.88 × 6,940
  4. Step 4: Simplify right side
    20,794.24x = 216,423,067.20
  5. Step 5: Solve for x
    x = 216,423,067.20/20,794.24
  6. Step 6: Final answer
    x = 10,407.84

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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.