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Finding the Fourth Proportional to 20,034.06, 30,051.78 and 6,886.32

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Solution

The fourth proportional to 20,034.06, 30,051.78 and 6,886.32 is: 10,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.06 : 30,051.78 = 6,886.32 : x
  2. Step 2: Convert to fraction form
    20,034.06/30,051.78 = 6,886.32/x
  3. Step 3: Cross multiply
    20,034.06x = 30,051.78 × 6,886.32
  4. Step 4: Simplify right side
    20,034.06x = 206,946,173.65
  5. Step 5: Solve for x
    x = 206,946,173.65/20,034.06
  6. Step 6: Final answer
    x = 10,329.72

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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.