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Finding the Fourth Proportional to 20,950.75, 31,426.28 and 6,159.88

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Solution

The fourth proportional to 20,950.75, 31,426.28 and 6,159.88 is: 9,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.75 : 31,426.28 = 6,159.88 : x
  2. Step 2: Convert to fraction form
    20,950.75/31,426.28 = 6,159.88/x
  3. Step 3: Cross multiply
    20,950.75x = 31,426.28 × 6,159.88
  4. Step 4: Simplify right side
    20,950.75x = 193,582,145.23
  5. Step 5: Solve for x
    x = 193,582,145.23/20,950.75
  6. Step 6: Final answer
    x = 9,239.87

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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.