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Finding the Fourth Proportional to 20,976.65, 31,464.93 and 6,185.72

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Solution

The fourth proportional to 20,976.65, 31,464.93 and 6,185.72 is: 9,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.65 : 31,464.93 = 6,185.72 : x
  2. Step 2: Convert to fraction form
    20,976.65/31,464.93 = 6,185.72/x
  3. Step 3: Cross multiply
    20,976.65x = 31,464.93 × 6,185.72
  4. Step 4: Simplify right side
    20,976.65x = 194,633,246.80
  5. Step 5: Solve for x
    x = 194,633,246.80/20,976.65
  6. Step 6: Final answer
    x = 9,278.57

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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.